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Simplifying 15x2 + 5xy + -2x = 0 Reorder the terms: -2x + 5xy + 15x2 = 0 Solving -2x + 5xy + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 5y + 15x) = 0Subproblem 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 '(-2 + 5y + 15x)' equal to zero and attempt to solve: Simplifying -2 + 5y + 15x = 0 Reorder the terms: -2 + 15x + 5y = 0 Solving -2 + 15x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 15x + 2 + 5y = 0 + 2 Reorder the terms: -2 + 2 + 15x + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 15x + 5y = 0 + 2 15x + 5y = 0 + 2 Combine like terms: 0 + 2 = 2 15x + 5y = 2 Add '-5y' to each side of the equation. 15x + 5y + -5y = 2 + -5y Combine like terms: 5y + -5y = 0 15x + 0 = 2 + -5y 15x = 2 + -5y Divide each side by '15'. x = 0.1333333333 + -0.3333333333y Simplifying x = 0.1333333333 + -0.3333333333ySolution
x = {0, 0.1333333333 + -0.3333333333y}
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