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Simplifying 5X2 + 32X + -64 = 0 Reorder the terms: -64 + 32X + 5X2 = 0 Solving -64 + 32X + 5X2 = 0 Solving for variable 'X'. Factor a trinomial. (-8 + -1X)(8 + -5X) = 0Subproblem 1
Set the factor '(-8 + -1X)' equal to zero and attempt to solve: Simplifying -8 + -1X = 0 Solving -8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1X = 0 + 8 -1X = 0 + 8 Combine like terms: 0 + 8 = 8 -1X = 8 Divide each side by '-1'. X = -8 Simplifying X = -8Subproblem 2
Set the factor '(8 + -5X)' equal to zero and attempt to solve: Simplifying 8 + -5X = 0 Solving 8 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5X = 0 + -8 -5X = 0 + -8 Combine like terms: 0 + -8 = -8 -5X = -8 Divide each side by '-5'. X = 1.6 Simplifying X = 1.6Solution
X = {-8, 1.6}
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