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Simplifying 5x2 + 10xy + 15x = 0 Reorder the terms: 15x + 10xy + 5x2 = 0 Solving 15x + 10xy + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(3 + 2y + x) = 0 Ignore the factor 5.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 '(3 + 2y + x)' equal to zero and attempt to solve: Simplifying 3 + 2y + x = 0 Reorder the terms: 3 + x + 2y = 0 Solving 3 + x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + x + -3 + 2y = 0 + -3 Reorder the terms: 3 + -3 + x + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x + 2y = 0 + -3 x + 2y = 0 + -3 Combine like terms: 0 + -3 = -3 x + 2y = -3 Add '-2y' to each side of the equation. x + 2y + -2y = -3 + -2y Combine like terms: 2y + -2y = 0 x + 0 = -3 + -2y x = -3 + -2y Simplifying x = -3 + -2ySolution
x = {0, -3 + -2y}
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