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Simplifying 4x2 + 22 = 20x + -2 Reorder the terms: 22 + 4x2 = 20x + -2 Reorder the terms: 22 + 4x2 = -2 + 20x Solving 22 + 4x2 = -2 + 20x Solving for variable 'x'. Reorder the terms: 22 + 2 + -20x + 4x2 = -2 + 20x + 2 + -20x Combine like terms: 22 + 2 = 24 24 + -20x + 4x2 = -2 + 20x + 2 + -20x Reorder the terms: 24 + -20x + 4x2 = -2 + 2 + 20x + -20x Combine like terms: -2 + 2 = 0 24 + -20x + 4x2 = 0 + 20x + -20x 24 + -20x + 4x2 = 20x + -20x Combine like terms: 20x + -20x = 0 24 + -20x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(6 + -5x + x2) = 0 Factor a trinomial. 4((2 + -1x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 1
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 = 2Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {2, 3}
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