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Simplifying x = (3x)(2x) Remove parenthesis around (3x) x = 3x(2x) Remove parenthesis around (2x) x = 3x * 2x Reorder the terms for easier multiplication: x = 3 * 2x * x Multiply 3 * 2 x = 6x * x Multiply x * x x = 6x2 Solving x = 6x2 Solving for variable 'x'. Combine like terms: 6x2 + -6x2 = 0 x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -6x) = 0Subproblem 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 '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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