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Simplifying 20x2 = 14 + 66x Solving 20x2 = 14 + 66x Solving for variable 'x'. Reorder the terms: -14 + -66x + 20x2 = 14 + 66x + -14 + -66x Reorder the terms: -14 + -66x + 20x2 = 14 + -14 + 66x + -66x Combine like terms: 14 + -14 = 0 -14 + -66x + 20x2 = 0 + 66x + -66x -14 + -66x + 20x2 = 66x + -66x Combine like terms: 66x + -66x = 0 -14 + -66x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -33x + 10x2) = 0 Factor a trinomial. 2((-1 + -5x)(7 + -2x)) = 0 Ignore the factor 2.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 '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-0.2, 3.5}
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