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Simplifying x(3x + -1y)(4x + 5x) = 0 Combine like terms: 4x + 5x = 9x x(3x + -1y)(9x) = 0 Remove parenthesis around (9x) x(3x + -1y) * 9x = 0 Reorder the terms for easier multiplication: 9x * x(3x + -1y) = 0 Multiply x * x 9x2(3x + -1y) = 0 (3x * 9x2 + -1y * 9x2) = 0 Reorder the terms: (-9x2y + 27x3) = 0 (-9x2y + 27x3) = 0 Solving -9x2y + 27x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x2'. 9x2(-1y + 3x) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1y + 3x)' equal to zero and attempt to solve: Simplifying -1y + 3x = 0 Reorder the terms: 3x + -1y = 0 Solving 3x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x + -1y + y = 0 + y Combine like terms: -1y + y = 0 3x + 0 = 0 + y 3x = 0 + y Remove the zero: 3x = y Divide each side by '3'. x = 0.3333333333y Simplifying x = 0.3333333333ySolution
x = {0, 0.3333333333y}
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