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Simplifying 10 + 12x = -1x + -5x2 + 4 Reorder the terms: 10 + 12x = 4 + -1x + -5x2 Solving 10 + 12x = 4 + -1x + -5x2 Solving for variable 'x'. Reorder the terms: 10 + -4 + 12x + x + 5x2 = 4 + -1x + -5x2 + -4 + x + 5x2 Combine like terms: 10 + -4 = 6 6 + 12x + x + 5x2 = 4 + -1x + -5x2 + -4 + x + 5x2 Combine like terms: 12x + x = 13x 6 + 13x + 5x2 = 4 + -1x + -5x2 + -4 + x + 5x2 Reorder the terms: 6 + 13x + 5x2 = 4 + -4 + -1x + x + -5x2 + 5x2 Combine like terms: 4 + -4 = 0 6 + 13x + 5x2 = 0 + -1x + x + -5x2 + 5x2 6 + 13x + 5x2 = -1x + x + -5x2 + 5x2 Combine like terms: -1x + x = 0 6 + 13x + 5x2 = 0 + -5x2 + 5x2 6 + 13x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 6 + 13x + 5x2 = 0 Factor a trinomial. (2 + x)(3 + 5x) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-2, -0.6}
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