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Simplifying 12x2 = 25x + -12 Reorder the terms: 12x2 = -12 + 25x Solving 12x2 = -12 + 25x Solving for variable 'x'. Reorder the terms: 12 + -25x + 12x2 = -12 + 25x + 12 + -25x Reorder the terms: 12 + -25x + 12x2 = -12 + 12 + 25x + -25x Combine like terms: -12 + 12 = 0 12 + -25x + 12x2 = 0 + 25x + -25x 12 + -25x + 12x2 = 25x + -25x Combine like terms: 25x + -25x = 0 12 + -25x + 12x2 = 0 Factor a trinomial. (3 + -4x)(4 + -3x) = 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 + -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 = {0.75, 1.333333333}
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