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Simplifying -5x2 + 64x = 192 Reorder the terms: 64x + -5x2 = 192 Solving 64x + -5x2 = 192 Solving for variable 'x'. Reorder the terms: -192 + 64x + -5x2 = 192 + -192 Combine like terms: 192 + -192 = 0 -192 + 64x + -5x2 = 0 Factor a trinomial. (-8 + x)(24 + -5x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 2
Set the factor '(24 + -5x)' equal to zero and attempt to solve: Simplifying 24 + -5x = 0 Solving 24 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 0 + -24 -5x = 0 + -24 Combine like terms: 0 + -24 = -24 -5x = -24 Divide each side by '-5'. x = 4.8 Simplifying x = 4.8Solution
x = {8, 4.8}
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