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Simplifying -5x2 + 36x + -64 = 0 Reorder the terms: -64 + 36x + -5x2 = 0 Solving -64 + 36x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + x)(16 + -5x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
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 = 3.2Solution
x = {4, 3.2}
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