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Simplifying 60x2y + 18xy + -24x = 0 Reorder the terms: -24x + 18xy + 60x2y = 0 Solving -24x + 18xy + 60x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-4 + 3y + 10xy) = 0 Ignore the factor 6.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 '(-4 + 3y + 10xy)' equal to zero and attempt to solve: Simplifying -4 + 3y + 10xy = 0 Reorder the terms: -4 + 10xy + 3y = 0 Solving -4 + 10xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 10xy + 4 + 3y = 0 + 4 Reorder the terms: -4 + 4 + 10xy + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 10xy + 3y = 0 + 4 10xy + 3y = 0 + 4 Combine like terms: 0 + 4 = 4 10xy + 3y = 4 Add '-3y' to each side of the equation. 10xy + 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 10xy + 0 = 4 + -3y 10xy = 4 + -3y Divide each side by '10y'. x = 0.4y-1 + -0.3 Simplifying x = 0.4y-1 + -0.3 Reorder the terms: x = -0.3 + 0.4y-1Solution
x = {0, -0.3 + 0.4y-1}
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