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Simplifying 2x + (2x2 + x) = 20 Reorder the terms: 2x + (x + 2x2) = 20 Remove parenthesis around (x + 2x2) 2x + x + 2x2 = 20 Combine like terms: 2x + x = 3x 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. (-4 + -1x)(5 + -2x) = 0Subproblem 1
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 = -4Subproblem 2
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 = 2.5Solution
x = {-4, 2.5}
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