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Simplifying 2x2 + -10x + 3xy + -15x = 0 Reorder the terms: -10x + -15x + 3xy + 2x2 = 0 Combine like terms: -10x + -15x = -25x -25x + 3xy + 2x2 = 0 Solving -25x + 3xy + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-25 + 3y + 2x) = 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 '(-25 + 3y + 2x)' equal to zero and attempt to solve: Simplifying -25 + 3y + 2x = 0 Reorder the terms: -25 + 2x + 3y = 0 Solving -25 + 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 2x + 25 + 3y = 0 + 25 Reorder the terms: -25 + 25 + 2x + 3y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 2x + 3y = 0 + 25 2x + 3y = 0 + 25 Combine like terms: 0 + 25 = 25 2x + 3y = 25 Add '-3y' to each side of the equation. 2x + 3y + -3y = 25 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 25 + -3y 2x = 25 + -3y Divide each side by '2'. x = 12.5 + -1.5y Simplifying x = 12.5 + -1.5ySolution
x = {0, 12.5 + -1.5y}
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