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Simplifying 0 = 12x2 + 5x + -7 Reorder the terms: 0 = -7 + 5x + 12x2 Solving 0 = -7 + 5x + 12x2 Solving for variable 'x'. Combine like terms: 0 + 7 = 7 7 + -5x + -12x2 = -7 + 5x + 12x2 + 7 + -5x + -12x2 Reorder the terms: 7 + -5x + -12x2 = -7 + 7 + 5x + -5x + 12x2 + -12x2 Combine like terms: -7 + 7 = 0 7 + -5x + -12x2 = 0 + 5x + -5x + 12x2 + -12x2 7 + -5x + -12x2 = 5x + -5x + 12x2 + -12x2 Combine like terms: 5x + -5x = 0 7 + -5x + -12x2 = 0 + 12x2 + -12x2 7 + -5x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 7 + -5x + -12x2 = 0 Factor a trinomial. (7 + -12x)(1 + x) = 0Subproblem 1
Set the factor '(7 + -12x)' equal to zero and attempt to solve: Simplifying 7 + -12x = 0 Solving 7 + -12x = 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 + -12x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 0 + -7 -12x = 0 + -7 Combine like terms: 0 + -7 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0.5833333333, -1}
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