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Simplifying 15x(2x + -3y + -10) = 0 Reorder the terms: 15x(-10 + 2x + -3y) = 0 (-10 * 15x + 2x * 15x + -3y * 15x) = 0 Reorder the terms: (-150x + -45xy + 30x2) = 0 (-150x + -45xy + 30x2) = 0 Solving -150x + -45xy + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x'. 15x(-10 + -3y + 2x) = 0 Ignore the factor 15.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 + -3y + 2x)' equal to zero and attempt to solve: Simplifying -10 + -3y + 2x = 0 Reorder the terms: -10 + 2x + -3y = 0 Solving -10 + 2x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2x + 10 + -3y = 0 + 10 Reorder the terms: -10 + 10 + 2x + -3y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + -3y = 0 + 10 2x + -3y = 0 + 10 Combine like terms: 0 + 10 = 10 2x + -3y = 10 Add '3y' to each side of the equation. 2x + -3y + 3y = 10 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 10 + 3y 2x = 10 + 3y Divide each side by '2'. x = 5 + 1.5y Simplifying x = 5 + 1.5ySolution
x = {0, 5 + 1.5y}
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