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Simplifying 10x2 + -32x + -266 = 0 Reorder the terms: -266 + -32x + 10x2 = 0 Solving -266 + -32x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-133 + -16x + 5x2) = 0 Factor a trinomial. 2((-19 + -5x)(7 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-19 + -5x)' equal to zero and attempt to solve: Simplifying -19 + -5x = 0 Solving -19 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -5x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -5x = 0 + 19 -5x = 0 + 19 Combine like terms: 0 + 19 = 19 -5x = 19 Divide each side by '-5'. x = -3.8 Simplifying x = -3.8Subproblem 2
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 = 7Solution
x = {-3.8, 7}
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