96=96+80x-16x^2

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Solution for 96=96+80x-16x^2 equation:


Simplifying
96 = 96 + 80x + -16x2

Add '-96' to each side of the equation.
96 + -96 = 96 + 80x + -96 + -16x2

Combine like terms: 96 + -96 = 0
0 = 96 + 80x + -96 + -16x2

Reorder the terms:
0 = 96 + -96 + 80x + -16x2

Combine like terms: 96 + -96 = 0
0 = 0 + 80x + -16x2
0 = 80x + -16x2

Solving
0 = 80x + -16x2

Solving for variable 'x'.
Remove the zero:
-80x + 16x2 = 80x + -16x2 + -80x + 16x2

Reorder the terms:
-80x + 16x2 = 80x + -80x + -16x2 + 16x2

Combine like terms: 80x + -80x = 0
-80x + 16x2 = 0 + -16x2 + 16x2
-80x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-80x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16x'.
16x(-5 + 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5

Solution

x = {0, 5}

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