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Simplifying 3x + -12xy + -9x(9x) = 0 Remove parenthesis around (9x) 3x + -12xy + -9x * 9x = 0 Reorder the terms for easier multiplication: 3x + -12xy + -9 * 9x * x = 0 Multiply -9 * 9 3x + -12xy + -81x * x = 0 Multiply x * x 3x + -12xy + -81x2 = 0 Solving 3x + -12xy + -81x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + -4y + -27x) = 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 '(1 + -4y + -27x)' equal to zero and attempt to solve: Simplifying 1 + -4y + -27x = 0 Reorder the terms: 1 + -27x + -4y = 0 Solving 1 + -27x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -27x + -1 + -4y = 0 + -1 Reorder the terms: 1 + -1 + -27x + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -27x + -4y = 0 + -1 -27x + -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -27x + -4y = -1 Add '4y' to each side of the equation. -27x + -4y + 4y = -1 + 4y Combine like terms: -4y + 4y = 0 -27x + 0 = -1 + 4y -27x = -1 + 4y Divide each side by '-27'. x = 0.03703703704 + -0.1481481481y Simplifying x = 0.03703703704 + -0.1481481481ySolution
x = {0, 0.03703703704 + -0.1481481481y}
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