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Simplifying 12x + 5x2 + -3 = x + -5 Reorder the terms: -3 + 12x + 5x2 = x + -5 Reorder the terms: -3 + 12x + 5x2 = -5 + x Solving -3 + 12x + 5x2 = -5 + x Solving for variable 'x'. Reorder the terms: -3 + 5 + 12x + -1x + 5x2 = -5 + x + 5 + -1x Combine like terms: -3 + 5 = 2 2 + 12x + -1x + 5x2 = -5 + x + 5 + -1x Combine like terms: 12x + -1x = 11x 2 + 11x + 5x2 = -5 + x + 5 + -1x Reorder the terms: 2 + 11x + 5x2 = -5 + 5 + x + -1x Combine like terms: -5 + 5 = 0 2 + 11x + 5x2 = 0 + x + -1x 2 + 11x + 5x2 = x + -1x Combine like terms: x + -1x = 0 2 + 11x + 5x2 = 0 Factor a trinomial. (2 + x)(1 + 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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {-2, -0.2}
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