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Simplifying 16x2 + -12x = 54 Reorder the terms: -12x + 16x2 = 54 Solving -12x + 16x2 = 54 Solving for variable 'x'. Reorder the terms: -54 + -12x + 16x2 = 54 + -54 Combine like terms: 54 + -54 = 0 -54 + -12x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + -6x + 8x2) = 0 Factor a trinomial. 2((-3 + -2x)(9 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-1.5, 2.25}
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