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Simplifying X(3 * 2x) = (x * 3) * 2x Multiply 3 * 2 X(6x) = (x * 3) * 2x Remove parenthesis around (6x) X * 6x = (x * 3) * 2x Reorder the terms for easier multiplication: 6X * x = (x * 3) * 2x Multiply X * x 6xX = (x * 3) * 2x Reorder the terms for easier multiplication: 6xX = (3x) * 2x Remove parenthesis around (3x) 6xX = 3x * 2x Reorder the terms for easier multiplication: 6xX = 3 * 2x * x Multiply 3 * 2 6xX = 6x * x Multiply x * x 6xX = 6x2 Solving 6xX = 6x2 Solving for variable 'x'. Combine like terms: 6x2 + -6x2 = 0 6xX + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(X + -1x) = 0 Ignore the factor 6.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 '(X + -1x)' equal to zero and attempt to solve: Simplifying X + -1x = 0 Solving X + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X + -1x = 0 + -1X Combine like terms: X + -1X = 0 0 + -1x = 0 + -1X -1x = 0 + -1X Remove the zero: -1x = -1X Divide each side by '-1'. x = X Simplifying x = XSolution
x = {0, X}
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