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Simplifying 5x + -6xy + 4xy + -1(1 + 7x + -3) = 0 Reorder the terms: 5x + -6xy + 4xy + -1(1 + -3 + 7x) = 0 Combine like terms: 1 + -3 = -2 5x + -6xy + 4xy + -1(-2 + 7x) = 0 5x + -6xy + 4xy + (-2 * -1 + 7x * -1) = 0 5x + -6xy + 4xy + (2 + -7x) = 0 Reorder the terms: 2 + 5x + -7x + -6xy + 4xy = 0 Combine like terms: 5x + -7x = -2x 2 + -2x + -6xy + 4xy = 0 Combine like terms: -6xy + 4xy = -2xy 2 + -2x + -2xy = 0 Solving 2 + -2x + -2xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2x + -2 + -2xy = 0 + -2 Reorder the terms: 2 + -2 + -2x + -2xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + -2xy = 0 + -2 -2x + -2xy = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + -2xy = -2 Reorder the terms: 2 + -2x + -2xy = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -2x + -2xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -1x + -1xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x + -1xy)' equal to zero and attempt to solve: Simplifying 1 + -1x + -1xy = 0 Solving 1 + -1x + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1x + -1 + -1xy = 0 + -1 Reorder the terms: 1 + -1 + -1x + -1xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + -1xy = 0 + -1 -1x + -1xy = 0 + -1 Combine like terms: 0 + -1 = -1 -1x + -1xy = -1 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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