Solve Using the Square Root Property x^2+14x+35=0

Math
x2+14x+35=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=1, b=14, and c=35 into the quadratic formula and solve for x.
-14±142-4⋅(1⋅35)2⋅1
Simplify.
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Simplify the numerator.
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Raise 14 to the power of 2.
x=-14±196-4⋅(1⋅35)2⋅1
Multiply 35 by 1.
x=-14±196-4⋅352⋅1
Multiply -4 by 35.
x=-14±196-1402⋅1
Subtract 140 from 196.
x=-14±562⋅1
Rewrite 56 as 22⋅14.
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Factor 4 out of 56.
x=-14±4(14)2⋅1
Rewrite 4 as 22.
x=-14±22⋅142⋅1
x=-14±22⋅142⋅1
Pull terms out from under the radical.
x=-14±2142⋅1
x=-14±2142⋅1
Multiply 2 by 1.
x=-14±2142
Simplify -14±2142.
x=-7±14
x=-7±14
Simplify the expression to solve for the + portion of the ±.
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Simplify the numerator.
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Raise 14 to the power of 2.
x=-14±196-4⋅(1⋅35)2⋅1
Multiply 35 by 1.
x=-14±196-4⋅352⋅1
Multiply -4 by 35.
x=-14±196-1402⋅1
Subtract 140 from 196.
x=-14±562⋅1
Rewrite 56 as 22⋅14.
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Factor 4 out of 56.
x=-14±4(14)2⋅1
Rewrite 4 as 22.
x=-14±22⋅142⋅1
x=-14±22⋅142⋅1
Pull terms out from under the radical.
x=-14±2142⋅1
x=-14±2142⋅1
Multiply 2 by 1.
x=-14±2142
Simplify -14±2142.
x=-7±14
Change the ± to +.
x=-7+14
x=-7+14
Simplify the expression to solve for the – portion of the ±.
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Simplify the numerator.
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Raise 14 to the power of 2.
x=-14±196-4⋅(1⋅35)2⋅1
Multiply 35 by 1.
x=-14±196-4⋅352⋅1
Multiply -4 by 35.
x=-14±196-1402⋅1
Subtract 140 from 196.
x=-14±562⋅1
Rewrite 56 as 22⋅14.
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Factor 4 out of 56.
x=-14±4(14)2⋅1
Rewrite 4 as 22.
x=-14±22⋅142⋅1
x=-14±22⋅142⋅1
Pull terms out from under the radical.
x=-14±2142⋅1
x=-14±2142⋅1
Multiply 2 by 1.
x=-14±2142
Simplify -14±2142.
x=-7±14
Change the ± to -.
x=-7-14
x=-7-14
The final answer is the combination of both solutions.
x=-7+14,-7-14
The result can be shown in multiple forms.
Exact Form:
x=-7+14,-7-14
Decimal Form:
x=-3.25834261…,-10.74165738…
Solve Using the Square Root Property x^2+14x+35=0

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