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Simplifying 6x2 = -29x + -20 Reorder the terms: 6x2 = -20 + -29x Solving 6x2 = -20 + -29x Solving for variable 'x'. Reorder the terms: 20 + 29x + 6x2 = -20 + -29x + 20 + 29x Reorder the terms: 20 + 29x + 6x2 = -20 + 20 + -29x + 29x Combine like terms: -20 + 20 = 0 20 + 29x + 6x2 = 0 + -29x + 29x 20 + 29x + 6x2 = -29x + 29x Combine like terms: -29x + 29x = 0 20 + 29x + 6x2 = 0 Factor a trinomial. (4 + x)(5 + 6x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {-4, -0.8333333333}
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