0=76x-16x^2

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Solution for 0=76x-16x^2 equation:


Simplifying
0 = 76x + -16x2

Solving
0 = 76x + -16x2

Solving for variable 'x'.
Remove the zero:
-76x + 16x2 = 76x + -16x2 + -76x + 16x2

Reorder the terms:
-76x + 16x2 = 76x + -76x + -16x2 + 16x2

Combine like terms: 76x + -76x = 0
-76x + 16x2 = 0 + -16x2 + 16x2
-76x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-76x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-19 + 4x) = 0

Ignore the factor 4.

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 '(-19 + 4x)' equal to zero and attempt to solve: Simplifying -19 + 4x = 0 Solving -19 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 4x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = 0 + 19 4x = 0 + 19 Combine like terms: 0 + 19 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75

Solution

x = {0, 4.75}

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