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Simplifying 5x2 + -12x + 1 = -6 Reorder the terms: 1 + -12x + 5x2 = -6 Solving 1 + -12x + 5x2 = -6 Solving for variable 'x'. Reorder the terms: 1 + 6 + -12x + 5x2 = -6 + 6 Combine like terms: 1 + 6 = 7 7 + -12x + 5x2 = -6 + 6 Combine like terms: -6 + 6 = 0 7 + -12x + 5x2 = 0 Factor a trinomial. (1 + -1x)(7 + -5x) = 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 '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {1, 1.4}
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