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Simplifying 10x2 + 12x + -64 = 0 Reorder the terms: -64 + 12x + 10x2 = 0 Solving -64 + 12x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-32 + 6x + 5x2) = 0 Factor a trinomial. 2((-16 + -5x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + -5x)' equal to zero and attempt to solve: Simplifying -16 + -5x = 0 Solving -16 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 0 + 16 -5x = 0 + 16 Combine like terms: 0 + 16 = 16 -5x = 16 Divide each side by '-5'. x = -3.2 Simplifying x = -3.2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3.2, 2}
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