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Simplifying 2xy + x(x) + -3yx + -10x(x) = 0 Multiply x * x 2xy + x2 + -3yx + -10x(x) = 0 Multiply x * x 2xy + x2 + -3xy + -10x2 = 0 Reorder the terms: 2xy + -3xy + x2 + -10x2 = 0 Combine like terms: 2xy + -3xy = -1xy -1xy + x2 + -10x2 = 0 Combine like terms: x2 + -10x2 = -9x2 -1xy + -9x2 = 0 Solving -1xy + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(y + 9x) = 0 Ignore the factor -1.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 '(y + 9x)' equal to zero and attempt to solve: Simplifying y + 9x = 0 Reorder the terms: 9x + y = 0 Solving 9x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 9x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 9x + 0 = 0 + -1y 9x = 0 + -1y Remove the zero: 9x = -1y Divide each side by '9'. x = -0.1111111111y Simplifying x = -0.1111111111ySolution
x = {0, -0.1111111111y}
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