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Simplifying 5x2 = -23x + -26 Reorder the terms: 5x2 = -26 + -23x Solving 5x2 = -26 + -23x Solving for variable 'x'. Reorder the terms: 26 + 23x + 5x2 = -26 + -23x + 26 + 23x Reorder the terms: 26 + 23x + 5x2 = -26 + 26 + -23x + 23x Combine like terms: -26 + 26 = 0 26 + 23x + 5x2 = 0 + -23x + 23x 26 + 23x + 5x2 = -23x + 23x Combine like terms: -23x + 23x = 0 26 + 23x + 5x2 = 0 Factor a trinomial. (13 + 5x)(2 + x) = 0Subproblem 1
Set the factor '(13 + 5x)' equal to zero and attempt to solve: Simplifying 13 + 5x = 0 Solving 13 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 0 + -13 5x = 0 + -13 Combine like terms: 0 + -13 = -13 5x = -13 Divide each side by '5'. x = -2.6 Simplifying x = -2.6Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2.6, -2}
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