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Simplifying 12x2 = 13x + 35 Reorder the terms: 12x2 = 35 + 13x Solving 12x2 = 35 + 13x Solving for variable 'x'. Reorder the terms: -35 + -13x + 12x2 = 35 + 13x + -35 + -13x Reorder the terms: -35 + -13x + 12x2 = 35 + -35 + 13x + -13x Combine like terms: 35 + -35 = 0 -35 + -13x + 12x2 = 0 + 13x + -13x -35 + -13x + 12x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -35 + -13x + 12x2 = 0 Factor a trinomial. (-5 + -4x)(7 + -3x) = 0Subproblem 1
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 = -1.25Subproblem 2
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 = 2.333333333Solution
x = {-1.25, 2.333333333}
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