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Simplifying 2x(x + 18) + -1x(4x + -2) = 0 Reorder the terms: 2x(18 + x) + -1x(4x + -2) = 0 (18 * 2x + x * 2x) + -1x(4x + -2) = 0 (36x + 2x2) + -1x(4x + -2) = 0 Reorder the terms: 36x + 2x2 + -1x(-2 + 4x) = 0 36x + 2x2 + (-2 * -1x + 4x * -1x) = 0 36x + 2x2 + (2x + -4x2) = 0 Reorder the terms: 36x + 2x + 2x2 + -4x2 = 0 Combine like terms: 36x + 2x = 38x 38x + 2x2 + -4x2 = 0 Combine like terms: 2x2 + -4x2 = -2x2 38x + -2x2 = 0 Solving 38x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(19 + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Solution
x = {0, 19}
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