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Simplifying 5x2 + 6x + -17 = 37 + -33x Reorder the terms: -17 + 6x + 5x2 = 37 + -33x Solving -17 + 6x + 5x2 = 37 + -33x Solving for variable 'x'. Reorder the terms: -17 + -37 + 6x + 33x + 5x2 = 37 + -33x + -37 + 33x Combine like terms: -17 + -37 = -54 -54 + 6x + 33x + 5x2 = 37 + -33x + -37 + 33x Combine like terms: 6x + 33x = 39x -54 + 39x + 5x2 = 37 + -33x + -37 + 33x Reorder the terms: -54 + 39x + 5x2 = 37 + -37 + -33x + 33x Combine like terms: 37 + -37 = 0 -54 + 39x + 5x2 = 0 + -33x + 33x -54 + 39x + 5x2 = -33x + 33x Combine like terms: -33x + 33x = 0 -54 + 39x + 5x2 = 0 Factor a trinomial. (-9 + -1x)(6 + -5x) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-9, 1.2}
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