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Simplifying 0 = 4x2 + 13x + -12 Reorder the terms: 0 = -12 + 13x + 4x2 Solving 0 = -12 + 13x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 12 = 12 12 + -13x + -4x2 = -12 + 13x + 4x2 + 12 + -13x + -4x2 Reorder the terms: 12 + -13x + -4x2 = -12 + 12 + 13x + -13x + 4x2 + -4x2 Combine like terms: -12 + 12 = 0 12 + -13x + -4x2 = 0 + 13x + -13x + 4x2 + -4x2 12 + -13x + -4x2 = 13x + -13x + 4x2 + -4x2 Combine like terms: 13x + -13x = 0 12 + -13x + -4x2 = 0 + 4x2 + -4x2 12 + -13x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 12 + -13x + -4x2 = 0 Factor a trinomial. (3 + -4x)(4 + x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0.75, -4}
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