-16x^2+144x=288

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Solution for -16x^2+144x=288 equation:


Simplifying
-16x2 + 144x = 288

Reorder the terms:
144x + -16x2 = 288

Solving
144x + -16x2 = 288

Solving for variable 'x'.

Reorder the terms:
-288 + 144x + -16x2 = 288 + -288

Combine like terms: 288 + -288 = 0
-288 + 144x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-18 + 9x + -1x2) = 0

Factor a trinomial.
16((-6 + x)(3 + -1x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {6, 3}

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