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Simplifying 9x = 2x * 3x Reorder the terms for easier multiplication: 9x = 2 * 3x * x Multiply 2 * 3 9x = 6x * x Multiply x * x 9x = 6x2 Solving 9x = 6x2 Solving for variable 'x'. Combine like terms: 6x2 + -6x2 = 0 9x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(3 + -2x) = 0 Ignore the factor 3.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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, 1.5}
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