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Simplifying 80x2 + 12x + -54 = 0 Reorder the terms: -54 + 12x + 80x2 = 0 Solving -54 + 12x + 80x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 6x + 40x2) = 0 Factor a trinomial. 2((-9 + -10x)(3 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -10x)' equal to zero and attempt to solve: Simplifying -9 + -10x = 0 Solving -9 + -10x = 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 + -10x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = 0 + 9 -10x = 0 + 9 Combine like terms: 0 + 9 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-0.9, 0.75}
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