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Simplifying -6x = 7x2 + -1x + -12 Reorder the terms: -6x = -12 + -1x + 7x2 Solving -6x = -12 + -1x + 7x2 Solving for variable 'x'. Reorder the terms: 12 + -6x + x + -7x2 = -12 + -1x + 7x2 + 12 + x + -7x2 Combine like terms: -6x + x = -5x 12 + -5x + -7x2 = -12 + -1x + 7x2 + 12 + x + -7x2 Reorder the terms: 12 + -5x + -7x2 = -12 + 12 + -1x + x + 7x2 + -7x2 Combine like terms: -12 + 12 = 0 12 + -5x + -7x2 = 0 + -1x + x + 7x2 + -7x2 12 + -5x + -7x2 = -1x + x + 7x2 + -7x2 Combine like terms: -1x + x = 0 12 + -5x + -7x2 = 0 + 7x2 + -7x2 12 + -5x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 12 + -5x + -7x2 = 0 Factor a trinomial. (1 + -1x)(12 + 7x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(12 + 7x)' equal to zero and attempt to solve: Simplifying 12 + 7x = 0 Solving 12 + 7x = 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 + 7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 0 + -12 7x = 0 + -12 Combine like terms: 0 + -12 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714Solution
x = {1, -1.714285714}
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