Solve using the Square Root Property x^2+6x-224=0

Math
x2+6x-224=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=1, b=6, and c=-224 into the quadratic formula and solve for x.
-6±62-4⋅(1⋅-224)2⋅1
Simplify.
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Simplify the numerator.
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Raise 6 to the power of 2.
x=-6±36-4⋅(1⋅-224)2⋅1
Multiply -224 by 1.
x=-6±36-4⋅-2242⋅1
Multiply -4 by -224.
x=-6±36+8962⋅1
Add 36 and 896.
x=-6±9322⋅1
Rewrite 932 as 22⋅233.
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Factor 4 out of 932.
x=-6±4(233)2⋅1
Rewrite 4 as 22.
x=-6±22⋅2332⋅1
x=-6±22⋅2332⋅1
Pull terms out from under the radical.
x=-6±22332⋅1
x=-6±22332⋅1
Multiply 2 by 1.
x=-6±22332
Simplify -6±22332.
x=-3±233
x=-3±233
Simplify the expression to solve for the + portion of the ±.
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Simplify the numerator.
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Raise 6 to the power of 2.
x=-6±36-4⋅(1⋅-224)2⋅1
Multiply -224 by 1.
x=-6±36-4⋅-2242⋅1
Multiply -4 by -224.
x=-6±36+8962⋅1
Add 36 and 896.
x=-6±9322⋅1
Rewrite 932 as 22⋅233.
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Factor 4 out of 932.
x=-6±4(233)2⋅1
Rewrite 4 as 22.
x=-6±22⋅2332⋅1
x=-6±22⋅2332⋅1
Pull terms out from under the radical.
x=-6±22332⋅1
x=-6±22332⋅1
Multiply 2 by 1.
x=-6±22332
Simplify -6±22332.
x=-3±233
Change the ± to +.
x=-3+233
x=-3+233
Simplify the expression to solve for the – portion of the ±.
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Simplify the numerator.
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Raise 6 to the power of 2.
x=-6±36-4⋅(1⋅-224)2⋅1
Multiply -224 by 1.
x=-6±36-4⋅-2242⋅1
Multiply -4 by -224.
x=-6±36+8962⋅1
Add 36 and 896.
x=-6±9322⋅1
Rewrite 932 as 22⋅233.
Tap for more steps…
Factor 4 out of 932.
x=-6±4(233)2⋅1
Rewrite 4 as 22.
x=-6±22⋅2332⋅1
x=-6±22⋅2332⋅1
Pull terms out from under the radical.
x=-6±22332⋅1
x=-6±22332⋅1
Multiply 2 by 1.
x=-6±22332
Simplify -6±22332.
x=-3±233
Change the ± to -.
x=-3-233
x=-3-233
The final answer is the combination of both solutions.
x=-3+233,-3-233
The result can be shown in multiple forms.
Exact Form:
x=-3+233,-3-233
Decimal Form:
x=12.26433752…,-18.26433752…
Solve using the Square Root Property x^2+6x-224=0

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