0=240x-16x^2

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Solution for 0=240x-16x^2 equation:


Simplifying
0 = 240x + -16x2

Solving
0 = 240x + -16x2

Solving for variable 'x'.
Remove the zero:
-240x + 16x2 = 240x + -16x2 + -240x + 16x2

Reorder the terms:
-240x + 16x2 = 240x + -240x + -16x2 + 16x2

Combine like terms: 240x + -240x = 0
-240x + 16x2 = 0 + -16x2 + 16x2
-240x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-240x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16x'.
16x(-15 + 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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15

Solution

x = {0, 15}

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