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Simplifying 20 = 6x2 + -7x Reorder the terms: 20 = -7x + 6x2 Solving 20 = -7x + 6x2 Solving for variable 'x'. Reorder the terms: 20 + 7x + -6x2 = -7x + 7x + 6x2 + -6x2 Combine like terms: -7x + 7x = 0 20 + 7x + -6x2 = 0 + 6x2 + -6x2 20 + 7x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 20 + 7x + -6x2 = 0 Factor a trinomial. (5 + -2x)(4 + 3x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {2.5, -1.333333333}
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