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Simplifying 20 = (6x + -19) * x Reorder the terms: 20 = (-19 + 6x) * x Reorder the terms for easier multiplication: 20 = x(-19 + 6x) 20 = (-19 * x + 6x * x) 20 = (-19x + 6x2) Solving 20 = -19x + 6x2 Solving for variable 'x'. Reorder the terms: 20 + 19x + -6x2 = -19x + 19x + 6x2 + -6x2 Combine like terms: -19x + 19x = 0 20 + 19x + -6x2 = 0 + 6x2 + -6x2 20 + 19x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 20 + 19x + -6x2 = 0 Factor a trinomial. (4 + -1x)(5 + 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 '(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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