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Simplifying 12x2 = 25x + -7 Reorder the terms: 12x2 = -7 + 25x Solving 12x2 = -7 + 25x Solving for variable 'x'. Reorder the terms: 7 + -25x + 12x2 = -7 + 25x + 7 + -25x Reorder the terms: 7 + -25x + 12x2 = -7 + 7 + 25x + -25x Combine like terms: -7 + 7 = 0 7 + -25x + 12x2 = 0 + 25x + -25x 7 + -25x + 12x2 = 25x + -25x Combine like terms: 25x + -25x = 0 7 + -25x + 12x2 = 0 Factor a trinomial. (1 + -3x)(7 + -4x) = 0Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {0.3333333333, 1.75}
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