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Simplifying 5x2 + 5x + -22 = 2 + -2x Reorder the terms: -22 + 5x + 5x2 = 2 + -2x Solving -22 + 5x + 5x2 = 2 + -2x Solving for variable 'x'. Reorder the terms: -22 + -2 + 5x + 2x + 5x2 = 2 + -2x + -2 + 2x Combine like terms: -22 + -2 = -24 -24 + 5x + 2x + 5x2 = 2 + -2x + -2 + 2x Combine like terms: 5x + 2x = 7x -24 + 7x + 5x2 = 2 + -2x + -2 + 2x Reorder the terms: -24 + 7x + 5x2 = 2 + -2 + -2x + 2x Combine like terms: 2 + -2 = 0 -24 + 7x + 5x2 = 0 + -2x + 2x -24 + 7x + 5x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 7x + 5x2 = 0 Factor a trinomial. (-3 + -1x)(8 + -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 '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {-3, 1.6}
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