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Simplifying 12x = 7x2 + -4 Reorder the terms: 12x = -4 + 7x2 Solving 12x = -4 + 7x2 Solving for variable 'x'. Reorder the terms: 4 + 12x + -7x2 = -4 + 7x2 + 4 + -7x2 Reorder the terms: 4 + 12x + -7x2 = -4 + 4 + 7x2 + -7x2 Combine like terms: -4 + 4 = 0 4 + 12x + -7x2 = 0 + 7x2 + -7x2 4 + 12x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 4 + 12x + -7x2 = 0 Factor a trinomial. (2 + -1x)(2 + 7x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {2, -0.2857142857}
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