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Simplifying 5x2 = -22x + -8 Reorder the terms: 5x2 = -8 + -22x Solving 5x2 = -8 + -22x Solving for variable 'x'. Reorder the terms: 8 + 22x + 5x2 = -8 + -22x + 8 + 22x Reorder the terms: 8 + 22x + 5x2 = -8 + 8 + -22x + 22x Combine like terms: -8 + 8 = 0 8 + 22x + 5x2 = 0 + -22x + 22x 8 + 22x + 5x2 = -22x + 22x Combine like terms: -22x + 22x = 0 8 + 22x + 5x2 = 0 Factor a trinomial. (4 + x)(2 + 5x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-4, -0.4}
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