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Simplifying x(5x + -8) = 333 Reorder the terms: x(-8 + 5x) = 333 (-8 * x + 5x * x) = 333 (-8x + 5x2) = 333 Solving -8x + 5x2 = 333 Solving for variable 'x'. Reorder the terms: -333 + -8x + 5x2 = 333 + -333 Combine like terms: 333 + -333 = 0 -333 + -8x + 5x2 = 0 Factor a trinomial. (-37 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(-37 + -5x)' equal to zero and attempt to solve: Simplifying -37 + -5x = 0 Solving -37 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -5x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -5x = 0 + 37 -5x = 0 + 37 Combine like terms: 0 + 37 = 37 -5x = 37 Divide each side by '-5'. x = -7.4 Simplifying x = -7.4Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-7.4, 9}
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