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Simplifying 12x2 = 13x + 4 Reorder the terms: 12x2 = 4 + 13x Solving 12x2 = 4 + 13x Solving for variable 'x'. Reorder the terms: -4 + -13x + 12x2 = 4 + 13x + -4 + -13x Reorder the terms: -4 + -13x + 12x2 = 4 + -4 + 13x + -13x Combine like terms: 4 + -4 = 0 -4 + -13x + 12x2 = 0 + 13x + -13x -4 + -13x + 12x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -4 + -13x + 12x2 = 0 Factor a trinomial. (-1 + -4x)(4 + -3x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-0.25, 1.333333333}
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