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Simplifying 6x2 + -11x + -147 = -7 Reorder the terms: -147 + -11x + 6x2 = -7 Solving -147 + -11x + 6x2 = -7 Solving for variable 'x'. Reorder the terms: -147 + 7 + -11x + 6x2 = -7 + 7 Combine like terms: -147 + 7 = -140 -140 + -11x + 6x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -140 + -11x + 6x2 = 0 Factor a trinomial. (-4 + -1x)(35 + -6x) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(35 + -6x)' equal to zero and attempt to solve: Simplifying 35 + -6x = 0 Solving 35 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -6x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -6x = 0 + -35 -6x = 0 + -35 Combine like terms: 0 + -35 = -35 -6x = -35 Divide each side by '-6'. x = 5.833333333 Simplifying x = 5.833333333Solution
x = {-4, 5.833333333}
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