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Simplifying (2x2y + -5x2) + -1(-4x + 7x2y + -1x2) = 0 Reorder the terms: (-5x2 + 2x2y) + -1(-4x + 7x2y + -1x2) = 0 Remove parenthesis around (-5x2 + 2x2y) -5x2 + 2x2y + -1(-4x + 7x2y + -1x2) = 0 Reorder the terms: -5x2 + 2x2y + -1(-4x + -1x2 + 7x2y) = 0 -5x2 + 2x2y + (-4x * -1 + -1x2 * -1 + 7x2y * -1) = 0 -5x2 + 2x2y + (4x + 1x2 + -7x2y) = 0 Reorder the terms: 4x + -5x2 + 1x2 + 2x2y + -7x2y = 0 Combine like terms: -5x2 + 1x2 = -4x2 4x + -4x2 + 2x2y + -7x2y = 0 Combine like terms: 2x2y + -7x2y = -5x2y 4x + -4x2 + -5x2y = 0 Solving 4x + -4x2 + -5x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -4x + -5xy) = 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 '(4 + -4x + -5xy)' equal to zero and attempt to solve: Simplifying 4 + -4x + -5xy = 0 Solving 4 + -4x + -5xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4x + -4 + -5xy = 0 + -4 Reorder the terms: 4 + -4 + -4x + -5xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4x + -5xy = 0 + -4 -4x + -5xy = 0 + -4 Combine like terms: 0 + -4 = -4 -4x + -5xy = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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