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Simplifying 0 = 10x + 20xy + y2 Solving 0 = 10x + 20xy + y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 0 + -10x = 10x + 20xy + -10x + y2 Remove the zero: -10x = 10x + 20xy + -10x + y2 Reorder the terms: -10x = 10x + -10x + 20xy + y2 Combine like terms: 10x + -10x = 0 -10x = 0 + 20xy + y2 -10x = 20xy + y2 Add '-20xy' to each side of the equation. -10x + -20xy = 20xy + -20xy + y2 Combine like terms: 20xy + -20xy = 0 -10x + -20xy = 0 + y2 -10x + -20xy = y2 Combine like terms: y2 + -1y2 = 0 -10x + -20xy + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10x + 20xy + y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10x + 20xy + y2)' equal to zero and attempt to solve: Simplifying 10x + 20xy + y2 = 0 Solving 10x + 20xy + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 10x + 20xy + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 10x + 20xy + 0 = 0 + -1y2 10x + 20xy = 0 + -1y2 Remove the zero: 10x + 20xy = -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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