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Simplifying 6x2 + 7x + -129 = -5 Reorder the terms: -129 + 7x + 6x2 = -5 Solving -129 + 7x + 6x2 = -5 Solving for variable 'x'. Reorder the terms: -129 + 5 + 7x + 6x2 = -5 + 5 Combine like terms: -129 + 5 = -124 -124 + 7x + 6x2 = -5 + 5 Combine like terms: -5 + 5 = 0 -124 + 7x + 6x2 = 0 Factor a trinomial. (-31 + -6x)(4 + -1x) = 0Subproblem 1
Set the factor '(-31 + -6x)' equal to zero and attempt to solve: Simplifying -31 + -6x = 0 Solving -31 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -6x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -6x = 0 + 31 -6x = 0 + 31 Combine like terms: 0 + 31 = 31 -6x = 31 Divide each side by '-6'. x = -5.166666667 Simplifying x = -5.166666667Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-5.166666667, 4}
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