Skip to main content
Factor
Tick mark Image
Evaluate
Tick mark Image
Graph

Similar Problems from Web Search

Share

4\left(-x^{2}+x\right)
Factor out 4.
x\left(-x+1\right)
Consider -x^{2}+x. Factor out x.
4x\left(-x+1\right)
Rewrite the complete factored expression.
-4x^{2}+4x=0
Quadratic polynomial can be factored using the transformation ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), where x_{1} and x_{2} are the solutions of the quadratic equation ax^{2}+bx+c=0.
x=\frac{-4±\sqrt{4^{2}}}{2\left(-4\right)}
All equations of the form ax^{2}+bx+c=0 can be solved using the quadratic formula: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=\frac{-4±4}{2\left(-4\right)}
Take the square root of 4^{2}.
x=\frac{-4±4}{-8}
Multiply 2 times -4.
x=\frac{0}{-8}
Now solve the equation x=\frac{-4±4}{-8} when ± is plus. Add -4 to 4.
x=0
Divide 0 by -8.
x=-\frac{8}{-8}
Now solve the equation x=\frac{-4±4}{-8} when ± is minus. Subtract 4 from -4.
x=1
Divide -8 by -8.
-4x^{2}+4x=-4x\left(x-1\right)
Factor the original expression using ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right). Substitute 0 for x_{1} and 1 for x_{2}.