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Simplifying -92 + 66x = -10x2 + 8x + -8 Reorder the terms: -92 + 66x = -8 + 8x + -10x2 Solving -92 + 66x = -8 + 8x + -10x2 Solving for variable 'x'. Reorder the terms: -92 + 8 + 66x + -8x + 10x2 = -8 + 8x + -10x2 + 8 + -8x + 10x2 Combine like terms: -92 + 8 = -84 -84 + 66x + -8x + 10x2 = -8 + 8x + -10x2 + 8 + -8x + 10x2 Combine like terms: 66x + -8x = 58x -84 + 58x + 10x2 = -8 + 8x + -10x2 + 8 + -8x + 10x2 Reorder the terms: -84 + 58x + 10x2 = -8 + 8 + 8x + -8x + -10x2 + 10x2 Combine like terms: -8 + 8 = 0 -84 + 58x + 10x2 = 0 + 8x + -8x + -10x2 + 10x2 -84 + 58x + 10x2 = 8x + -8x + -10x2 + 10x2 Combine like terms: 8x + -8x = 0 -84 + 58x + 10x2 = 0 + -10x2 + 10x2 -84 + 58x + 10x2 = -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 -84 + 58x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-42 + 29x + 5x2) = 0 Factor a trinomial. 2((-7 + -1x)(6 + -5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 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 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-7, 1.2}
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