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Simplifying 2x(114 + -1(4x)) + -1(4x2) = 0 Remove parenthesis around (4x) 2x(114 + -1 * 4x) + -1(4x2) = 0 Multiply -1 * 4 2x(114 + -4x) + -1(4x2) = 0 (114 * 2x + -4x * 2x) + -1(4x2) = 0 (228x + -8x2) + -1(4x2) = 0 Remove parenthesis around (4x2) 228x + -8x2 + -1 * 4x2 = 0 Multiply -1 * 4 228x + -8x2 + -4x2 = 0 Combine like terms: -8x2 + -4x2 = -12x2 228x + -12x2 = 0 Solving 228x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(19 + -1x) = 0 Ignore the factor 12.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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