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Simplifying (x2 + 2x) + (x2 + -5x) = 20 Reorder the terms: (2x + x2) + (x2 + -5x) = 20 Remove parenthesis around (2x + x2) 2x + x2 + (x2 + -5x) = 20 Reorder the terms: 2x + x2 + (-5x + x2) = 20 Remove parenthesis around (-5x + x2) 2x + x2 + -5x + x2 = 20 Reorder the terms: 2x + -5x + x2 + x2 = 20 Combine like terms: 2x + -5x = -3x -3x + x2 + x2 = 20 Combine like terms: x2 + x2 = 2x2 -3x + 2x2 = 20 Solving -3x + 2x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + -3x + 2x2 = 20 + -20 Combine like terms: 20 + -20 = 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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