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Simplifying 3x2 + 5x + -24 = -26 Reorder the terms: -24 + 5x + 3x2 = -26 Solving -24 + 5x + 3x2 = -26 Solving for variable 'x'. Reorder the terms: -24 + 26 + 5x + 3x2 = -26 + 26 Combine like terms: -24 + 26 = 2 2 + 5x + 3x2 = -26 + 26 Combine like terms: -26 + 26 = 0 2 + 5x + 3x2 = 0 Factor a trinomial. (1 + x)(2 + 3x) = 0Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-1, -0.6666666667}
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