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Simplifying 30x2y + -87xy + 30x = 0 Reorder the terms: 30x + -87xy + 30x2y = 0 Solving 30x + -87xy + 30x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(10 + -29y + 10xy) = 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 '(10 + -29y + 10xy)' equal to zero and attempt to solve: Simplifying 10 + -29y + 10xy = 0 Reorder the terms: 10 + 10xy + -29y = 0 Solving 10 + 10xy + -29y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 10xy + -10 + -29y = 0 + -10 Reorder the terms: 10 + -10 + 10xy + -29y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10xy + -29y = 0 + -10 10xy + -29y = 0 + -10 Combine like terms: 0 + -10 = -10 10xy + -29y = -10 Add '29y' to each side of the equation. 10xy + -29y + 29y = -10 + 29y Combine like terms: -29y + 29y = 0 10xy + 0 = -10 + 29y 10xy = -10 + 29y Divide each side by '10y'. x = -1y-1 + 2.9 Simplifying x = -1y-1 + 2.9 Reorder the terms: x = 2.9 + -1y-1Solution
x = {0, 2.9 + -1y-1}
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