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Simplifying 2x2 = 25x + -12 Reorder the terms: 2x2 = -12 + 25x Solving 2x2 = -12 + 25x Solving for variable 'x'. Reorder the terms: 12 + -25x + 2x2 = -12 + 25x + 12 + -25x Reorder the terms: 12 + -25x + 2x2 = -12 + 12 + 25x + -25x Combine like terms: -12 + 12 = 0 12 + -25x + 2x2 = 0 + 25x + -25x 12 + -25x + 2x2 = 25x + -25x Combine like terms: 25x + -25x = 0 12 + -25x + 2x2 = 0 Factor a trinomial. (1 + -2x)(12 + -1x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {0.5, 12}
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