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Simplifying 80x + -3x2 = 512 Solving 80x + -3x2 = 512 Solving for variable 'x'. Reorder the terms: -512 + 80x + -3x2 = 512 + -512 Combine like terms: 512 + -512 = 0 -512 + 80x + -3x2 = 0 Factor a trinomial. (-16 + x)(32 + -3x) = 0Subproblem 1
Set the factor '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 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 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16Subproblem 2
Set the factor '(32 + -3x)' equal to zero and attempt to solve: Simplifying 32 + -3x = 0 Solving 32 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -3x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -3x = 0 + -32 -3x = 0 + -32 Combine like terms: 0 + -32 = -32 -3x = -32 Divide each side by '-3'. x = 10.66666667 Simplifying x = 10.66666667Solution
x = {16, 10.66666667}
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