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Simplifying 15x2 + -19xy + -10x2 = 0 Reorder the terms: -19xy + 15x2 + -10x2 = 0 Combine like terms: 15x2 + -10x2 = 5x2 -19xy + 5x2 = 0 Solving -19xy + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-19y + 5x) = 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 '(-19y + 5x)' equal to zero and attempt to solve: Simplifying -19y + 5x = 0 Reorder the terms: 5x + -19y = 0 Solving 5x + -19y = 0 Move all terms containing x to the left, all other terms to the right. Add '19y' to each side of the equation. 5x + -19y + 19y = 0 + 19y Combine like terms: -19y + 19y = 0 5x + 0 = 0 + 19y 5x = 0 + 19y Remove the zero: 5x = 19y Divide each side by '5'. x = 3.8y Simplifying x = 3.8ySolution
x = {0, 3.8y}
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