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Simplifying -5x2 + -6 = -9x + -24 Reorder the terms: -6 + -5x2 = -9x + -24 Reorder the terms: -6 + -5x2 = -24 + -9x Solving -6 + -5x2 = -24 + -9x Solving for variable 'x'. Reorder the terms: -6 + 24 + 9x + -5x2 = -24 + -9x + 24 + 9x Combine like terms: -6 + 24 = 18 18 + 9x + -5x2 = -24 + -9x + 24 + 9x Reorder the terms: 18 + 9x + -5x2 = -24 + 24 + -9x + 9x Combine like terms: -24 + 24 = 0 18 + 9x + -5x2 = 0 + -9x + 9x 18 + 9x + -5x2 = -9x + 9x Combine like terms: -9x + 9x = 0 18 + 9x + -5x2 = 0 Factor a trinomial. (3 + -1x)(6 + 5x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, -1.2}
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