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Simplifying 5x2 + 8x = 165 Reorder the terms: 8x + 5x2 = 165 Solving 8x + 5x2 = 165 Solving for variable 'x'. Reorder the terms: -165 + 8x + 5x2 = 165 + -165 Combine like terms: 165 + -165 = 0 -165 + 8x + 5x2 = 0 Factor a trinomial. (-33 + -5x)(5 + -1x) = 0Subproblem 1
Set the factor '(-33 + -5x)' equal to zero and attempt to solve: Simplifying -33 + -5x = 0 Solving -33 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -5x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -5x = 0 + 33 -5x = 0 + 33 Combine like terms: 0 + 33 = 33 -5x = 33 Divide each side by '-5'. x = -6.6 Simplifying x = -6.6Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-6.6, 5}
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