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Simplifying 3 + -13x = 6(x2 + -2) Reorder the terms: 3 + -13x = 6(-2 + x2) 3 + -13x = (-2 * 6 + x2 * 6) 3 + -13x = (-12 + 6x2) Solving 3 + -13x = -12 + 6x2 Solving for variable 'x'. Reorder the terms: 3 + 12 + -13x + -6x2 = -12 + 6x2 + 12 + -6x2 Combine like terms: 3 + 12 = 15 15 + -13x + -6x2 = -12 + 6x2 + 12 + -6x2 Reorder the terms: 15 + -13x + -6x2 = -12 + 12 + 6x2 + -6x2 Combine like terms: -12 + 12 = 0 15 + -13x + -6x2 = 0 + 6x2 + -6x2 15 + -13x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 15 + -13x + -6x2 = 0 Factor a trinomial. (5 + -6x)(3 + x) = 0Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0.8333333333, -3}
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