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Simplifying -6x2 + -7x + 155 = -8x Reorder the terms: 155 + -7x + -6x2 = -8x Solving 155 + -7x + -6x2 = -8x Solving for variable 'x'. Reorder the terms: 155 + -7x + 8x + -6x2 = -8x + 8x Combine like terms: -7x + 8x = 1x 155 + 1x + -6x2 = -8x + 8x Combine like terms: -8x + 8x = 0 155 + 1x + -6x2 = 0 Factor a trinomial. (31 + -6x)(5 + x) = 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {5.166666667, -5}
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