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Simplifying x2 + -14x + -5 = -4x2 + -27x + -11 Reorder the terms: -5 + -14x + x2 = -4x2 + -27x + -11 Reorder the terms: -5 + -14x + x2 = -11 + -27x + -4x2 Solving -5 + -14x + x2 = -11 + -27x + -4x2 Solving for variable 'x'. Reorder the terms: -5 + 11 + -14x + 27x + x2 + 4x2 = -11 + -27x + -4x2 + 11 + 27x + 4x2 Combine like terms: -5 + 11 = 6 6 + -14x + 27x + x2 + 4x2 = -11 + -27x + -4x2 + 11 + 27x + 4x2 Combine like terms: -14x + 27x = 13x 6 + 13x + x2 + 4x2 = -11 + -27x + -4x2 + 11 + 27x + 4x2 Combine like terms: x2 + 4x2 = 5x2 6 + 13x + 5x2 = -11 + -27x + -4x2 + 11 + 27x + 4x2 Reorder the terms: 6 + 13x + 5x2 = -11 + 11 + -27x + 27x + -4x2 + 4x2 Combine like terms: -11 + 11 = 0 6 + 13x + 5x2 = 0 + -27x + 27x + -4x2 + 4x2 6 + 13x + 5x2 = -27x + 27x + -4x2 + 4x2 Combine like terms: -27x + 27x = 0 6 + 13x + 5x2 = 0 + -4x2 + 4x2 6 + 13x + 5x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 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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