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Simplifying x(2 + 4x) = 20 (2 * x + 4x * x) = 20 (2x + 4x2) = 20 Solving 2x + 4x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + 2x + 4x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + x + 2x2) = 0 Factor a trinomial. 2((-5 + -2x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2.5, 2}
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