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Simplifying 20x2 = 7x + 40 Reorder the terms: 20x2 = 40 + 7x Solving 20x2 = 40 + 7x Solving for variable 'x'. Reorder the terms: -40 + -7x + 20x2 = 40 + 7x + -40 + -7x Reorder the terms: -40 + -7x + 20x2 = 40 + -40 + 7x + -7x Combine like terms: 40 + -40 = 0 -40 + -7x + 20x2 = 0 + 7x + -7x -40 + -7x + 20x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -40 + -7x + 20x2 = 0 Factor a trinomial. (-5 + -4x)(8 + -5x) = 0Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 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 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {-1.25, 1.6}
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