Solve using the Square Root Property x^2+14x^22=0

Math
x2+14×22=0
Factor x2 out of x2+14×22.
Tap for more steps…
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.
Tap for more steps…
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.
Tap for more steps…
Simplify the right side of the equation.
Tap for more steps…
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.
Tap for more steps…
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.
Tap for more steps…
Divide each term in 14×20=-1 by 14.
14×2014=-114
Cancel the common factor of 14.
Tap for more steps…
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.
Tap for more steps…
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
Solve using the Square Root Property x^2+14x^22=0

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top