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