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Simplifying 0 = 12x2 + -13x + -35 Reorder the terms: 0 = -35 + -13x + 12x2 Solving 0 = -35 + -13x + 12x2 Solving for variable 'x'. Combine like terms: 0 + 35 = 35 35 + 13x + -12x2 = -35 + -13x + 12x2 + 35 + 13x + -12x2 Reorder the terms: 35 + 13x + -12x2 = -35 + 35 + -13x + 13x + 12x2 + -12x2 Combine like terms: -35 + 35 = 0 35 + 13x + -12x2 = 0 + -13x + 13x + 12x2 + -12x2 35 + 13x + -12x2 = -13x + 13x + 12x2 + -12x2 Combine like terms: -13x + 13x = 0 35 + 13x + -12x2 = 0 + 12x2 + -12x2 35 + 13x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 35 + 13x + -12x2 = 0 Factor a trinomial. (7 + -3x)(5 + 4x) = 0Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {2.333333333, -1.25}
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