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Simplifying 5x2 + 17x + -24 = 6 + -2x Reorder the terms: -24 + 17x + 5x2 = 6 + -2x Solving -24 + 17x + 5x2 = 6 + -2x Solving for variable 'x'. Reorder the terms: -24 + -6 + 17x + 2x + 5x2 = 6 + -2x + -6 + 2x Combine like terms: -24 + -6 = -30 -30 + 17x + 2x + 5x2 = 6 + -2x + -6 + 2x Combine like terms: 17x + 2x = 19x -30 + 19x + 5x2 = 6 + -2x + -6 + 2x Reorder the terms: -30 + 19x + 5x2 = 6 + -6 + -2x + 2x Combine like terms: 6 + -6 = 0 -30 + 19x + 5x2 = 0 + -2x + 2x -30 + 19x + 5x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 19x + 5x2 = 0 Factor a trinomial. (-5 + -1x)(6 + -5x) = 0Subproblem 1
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 = -5Subproblem 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 = {-5, 1.2}
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