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Simplifying 5x2 + -3x = 3x2 + 20 Reorder the terms: -3x + 5x2 = 3x2 + 20 Reorder the terms: -3x + 5x2 = 20 + 3x2 Solving -3x + 5x2 = 20 + 3x2 Solving for variable 'x'. Reorder the terms: -20 + -3x + 5x2 + -3x2 = 20 + 3x2 + -20 + -3x2 Combine like terms: 5x2 + -3x2 = 2x2 -20 + -3x + 2x2 = 20 + 3x2 + -20 + -3x2 Reorder the terms: -20 + -3x + 2x2 = 20 + -20 + 3x2 + -3x2 Combine like terms: 20 + -20 = 0 -20 + -3x + 2x2 = 0 + 3x2 + -3x2 -20 + -3x + 2x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -20 + -3x + 2x2 = 0 Factor a trinomial. (-5 + -2x)(4 + -1x) = 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 + -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 = {-2.5, 4}
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