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Simplifying 10x2 + 25x + -66 = -6 Reorder the terms: -66 + 25x + 10x2 = -6 Solving -66 + 25x + 10x2 = -6 Solving for variable 'x'. Reorder the terms: -66 + 6 + 25x + 10x2 = -6 + 6 Combine like terms: -66 + 6 = -60 -60 + 25x + 10x2 = -6 + 6 Combine like terms: -6 + 6 = 0 -60 + 25x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-12 + 5x + 2x2) = 0 Factor a trinomial. 5((-4 + -1x)(3 + -2x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
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 = 1.5Solution
x = {-4, 1.5}
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