0=-16x^2+127x

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Solution for 0=-16x^2+127x equation:


Simplifying
0 = -16x2 + 127x

Reorder the terms:
0 = 127x + -16x2

Solving
0 = 127x + -16x2

Solving for variable 'x'.
Remove the zero:
-127x + 16x2 = 127x + -16x2 + -127x + 16x2

Reorder the terms:
-127x + 16x2 = 127x + -127x + -16x2 + 16x2

Combine like terms: 127x + -127x = 0
-127x + 16x2 = 0 + -16x2 + 16x2
-127x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-127x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-127 + 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 '(-127 + 16x)' equal to zero and attempt to solve: Simplifying -127 + 16x = 0 Solving -127 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '127' to each side of the equation. -127 + 127 + 16x = 0 + 127 Combine like terms: -127 + 127 = 0 0 + 16x = 0 + 127 16x = 0 + 127 Combine like terms: 0 + 127 = 127 16x = 127 Divide each side by '16'. x = 7.9375 Simplifying x = 7.9375

Solution

x = {0, 7.9375}

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