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Simplifying 10x2 + 8x + -1536 = 0 Reorder the terms: -1536 + 8x + 10x2 = 0 Solving -1536 + 8x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-768 + 4x + 5x2) = 0 Factor a trinomial. 2((-64 + -5x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-64 + -5x)' equal to zero and attempt to solve: Simplifying -64 + -5x = 0 Solving -64 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -5x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -5x = 0 + 64 -5x = 0 + 64 Combine like terms: 0 + 64 = 64 -5x = 64 Divide each side by '-5'. x = -12.8 Simplifying x = -12.8Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-12.8, 12}
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