0=-16x^2+32x

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Solution for 0=-16x^2+32x equation:


Simplifying
0 = -16x2 + 32x

Reorder the terms:
0 = 32x + -16x2

Solving
0 = 32x + -16x2

Solving for variable 'x'.
Remove the zero:
-32x + 16x2 = 32x + -16x2 + -32x + 16x2

Reorder the terms:
-32x + 16x2 = 32x + -32x + -16x2 + 16x2

Combine like terms: 32x + -32x = 0
-32x + 16x2 = 0 + -16x2 + 16x2
-32x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-32x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16x'.
16x(-2 + x) = 0

Ignore the factor 16.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Solution

x = {0, 2}

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