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Simplifying 10x2 + -52x + -54 = -6 Reorder the terms: -54 + -52x + 10x2 = -6 Solving -54 + -52x + 10x2 = -6 Solving for variable 'x'. Reorder the terms: -54 + 6 + -52x + 10x2 = -6 + 6 Combine like terms: -54 + 6 = -48 -48 + -52x + 10x2 = -6 + 6 Combine like terms: -6 + 6 = 0 -48 + -52x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + -26x + 5x2) = 0 Factor a trinomial. 2((-4 + -5x)(6 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-0.8, 6}
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