Skip to main content
Solve for x
Tick mark Image
Graph

Similar Problems from Web Search

Share

\left(x-2\right)^{2}=\frac{-8}{-2}
Divide both sides by -2.
\left(x-2\right)^{2}=4
Divide -8 by -2 to get 4.
x^{2}-4x+4=4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
x^{2}-4x+4-4=0
Subtract 4 from both sides.
x^{2}-4x=0
Subtract 4 from 4 to get 0.
x\left(x-4\right)=0
Factor out x.
x=0 x=4
To find equation solutions, solve x=0 and x-4=0.
\left(x-2\right)^{2}=\frac{-8}{-2}
Divide both sides by -2.
\left(x-2\right)^{2}=4
Divide -8 by -2 to get 4.
x^{2}-4x+4=4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
x^{2}-4x+4-4=0
Subtract 4 from both sides.
x^{2}-4x=0
Subtract 4 from 4 to get 0.
x=\frac{-\left(-4\right)±\sqrt{\left(-4\right)^{2}}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, -4 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{-\left(-4\right)±4}{2}
Take the square root of \left(-4\right)^{2}.
x=\frac{4±4}{2}
The opposite of -4 is 4.
x=\frac{8}{2}
Now solve the equation x=\frac{4±4}{2} when ± is plus. Add 4 to 4.
x=4
Divide 8 by 2.
x=\frac{0}{2}
Now solve the equation x=\frac{4±4}{2} when ± is minus. Subtract 4 from 4.
x=0
Divide 0 by 2.
x=4 x=0
The equation is now solved.
\left(x-2\right)^{2}=\frac{-8}{-2}
Divide both sides by -2.
\left(x-2\right)^{2}=4
Divide -8 by -2 to get 4.
\sqrt{\left(x-2\right)^{2}}=\sqrt{4}
Take the square root of both sides of the equation.
x-2=2 x-2=-2
Simplify.
x=4 x=0
Add 2 to both sides of the equation.