-16x^2+32x+4080=0

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Solution for -16x^2+32x+4080=0 equation:


Simplifying
-16x2 + 32x + 4080 = 0

Reorder the terms:
4080 + 32x + -16x2 = 0

Solving
4080 + 32x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16'.
16(255 + 2x + -1x2) = 0

Factor a trinomial.
16((17 + -1x)(15 + x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17

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 = {17, -15}

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