0=125x-16x^2

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Solution for 0=125x-16x^2 equation:


Simplifying
0 = 125x + -16x2

Solving
0 = 125x + -16x2

Solving for variable 'x'.
Remove the zero:
-125x + 16x2 = 125x + -16x2 + -125x + 16x2

Reorder the terms:
-125x + 16x2 = 125x + -125x + -16x2 + 16x2

Combine like terms: 125x + -125x = 0
-125x + 16x2 = 0 + -16x2 + 16x2
-125x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-125x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-125 + 16x) = 0

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 '(-125 + 16x)' equal to zero and attempt to solve: Simplifying -125 + 16x = 0 Solving -125 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 16x = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 16x = 0 + 125 16x = 0 + 125 Combine like terms: 0 + 125 = 125 16x = 125 Divide each side by '16'. x = 7.8125 Simplifying x = 7.8125

Solution

x = {0, 7.8125}

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