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Simplifying 0 = 6x2 + 41x + -56 Reorder the terms: 0 = -56 + 41x + 6x2 Solving 0 = -56 + 41x + 6x2 Solving for variable 'x'. Combine like terms: 0 + 56 = 56 56 + -41x + -6x2 = -56 + 41x + 6x2 + 56 + -41x + -6x2 Reorder the terms: 56 + -41x + -6x2 = -56 + 56 + 41x + -41x + 6x2 + -6x2 Combine like terms: -56 + 56 = 0 56 + -41x + -6x2 = 0 + 41x + -41x + 6x2 + -6x2 56 + -41x + -6x2 = 41x + -41x + 6x2 + -6x2 Combine like terms: 41x + -41x = 0 56 + -41x + -6x2 = 0 + 6x2 + -6x2 56 + -41x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 56 + -41x + -6x2 = 0 Factor a trinomial. (7 + -6x)(8 + x) = 0Subproblem 1
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {1.166666667, -8}
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