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Simplifying 6x2 + 5x = 20 + 24x Reorder the terms: 5x + 6x2 = 20 + 24x Solving 5x + 6x2 = 20 + 24x Solving for variable 'x'. Reorder the terms: -20 + 5x + -24x + 6x2 = 20 + 24x + -20 + -24x Combine like terms: 5x + -24x = -19x -20 + -19x + 6x2 = 20 + 24x + -20 + -24x Reorder the terms: -20 + -19x + 6x2 = 20 + -20 + 24x + -24x Combine like terms: 20 + -20 = 0 -20 + -19x + 6x2 = 0 + 24x + -24x -20 + -19x + 6x2 = 24x + -24x Combine like terms: 24x + -24x = 0 -20 + -19x + 6x2 = 0 Factor a trinomial. (-5 + -6x)(4 + -1x) = 0Subproblem 1
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 = -0.8333333333Subproblem 2
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 = 4Solution
x = {-0.8333333333, 4}
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