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Simplifying 3x2 + 26x = -40 Reorder the terms: 26x + 3x2 = -40 Solving 26x + 3x2 = -40 Solving for variable 'x'. Reorder the terms: 40 + 26x + 3x2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + 26x + 3x2 = 0 Factor a trinomial. (20 + 3x)(2 + x) = 0Subproblem 1
Set the factor '(20 + 3x)' equal to zero and attempt to solve: Simplifying 20 + 3x = 0 Solving 20 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 0 + -20 3x = 0 + -20 Combine like terms: 0 + -20 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 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 = {-6.666666667, -2}
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