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Simplifying 4(5x2 + 2) = 44x Reorder the terms: 4(2 + 5x2) = 44x (2 * 4 + 5x2 * 4) = 44x (8 + 20x2) = 44x Solving 8 + 20x2 = 44x Solving for variable 'x'. Reorder the terms: 8 + -44x + 20x2 = 44x + -44x Combine like terms: 44x + -44x = 0 8 + -44x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -11x + 5x2) = 0 Factor a trinomial. 4((1 + -5x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 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 = {0.2, 2}
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