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Simplifying 4x2 = 22x + -10 Reorder the terms: 4x2 = -10 + 22x Solving 4x2 = -10 + 22x Solving for variable 'x'. Reorder the terms: 10 + -22x + 4x2 = -10 + 22x + 10 + -22x Reorder the terms: 10 + -22x + 4x2 = -10 + 10 + 22x + -22x Combine like terms: -10 + 10 = 0 10 + -22x + 4x2 = 0 + 22x + -22x 10 + -22x + 4x2 = 22x + -22x Combine like terms: 22x + -22x = 0 10 + -22x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -11x + 2x2) = 0 Factor a trinomial. 2((1 + -2x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.5, 5}
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