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Simplifying 2x(-3y + -2x)(9) = 0 Reorder the terms: 2x(-2x + -3y)(9) = 0 Reorder the terms for easier multiplication: 2 * 9x(-2x + -3y) = 0 Multiply 2 * 9 18x(-2x + -3y) = 0 (-2x * 18x + -3y * 18x) = 0 Reorder the terms: (-54xy + -36x2) = 0 (-54xy + -36x2) = 0 Solving -54xy + -36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-18x'. -18x(3y + 2x) = 0 Ignore the factor -18.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 '(3y + 2x)' equal to zero and attempt to solve: Simplifying 3y + 2x = 0 Reorder the terms: 2x + 3y = 0 Solving 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5ySolution
x = {0, -1.5y}
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