# Solve using the Square Root Property x^2+14x^22=0 x2+14×22=0
Factor x2 out of x2+14×22.
Multiply by 1.
x2⋅1+14×22=0
Factor x2 out of 14×22.
x2⋅1+x2(14×20)=0
Factor x2 out of x2⋅1+x2(14×20).
x2(1+14×20)=0
x2(1+14×20)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x2=0
1+14×20=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
x2=0
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±0
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 0 as 02.
x=±02
Pull terms out from under the radical, assuming positive real numbers.
x=±0
x=±0
±0 is equal to 0.
x=0
x=0
x=0
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
1+14×20=0
Subtract 1 from both sides of the equation.
14×20=-1
Divide each term by 14 and simplify.
Divide each term in 14×20=-1 by 14.
14×2014=-114
Cancel the common factor of 14.
Cancel the common factor.
14×2014=-114
Divide x20 by 1.
x20=-114
x20=-114
Move the negative in front of the fraction.
x20=-114
x20=-114
Take the 20th root of both sides of the equation to eliminate the exponent on the left side.
x=±-11420
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
x=-11420
Next, use the negative value of the ± to find the second solution.
x=–11420
The complete solution is the result of both the positive and negative portions of the solution.
x=-11420,–11420
x=-11420,–11420
x=-11420,–11420
The final solution is all the values that make x2(1+14×20)=0 true.
x=0,-11420,–11420
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