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Simplifying -10 = xy + z + x Reorder the terms: -10 = x + xy + z Solving -10 = x + xy + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -1x = x + xy + -1x + z Reorder the terms: -10 + -1x = x + -1x + xy + z Combine like terms: x + -1x = 0 -10 + -1x = 0 + xy + z -10 + -1x = xy + z Add '-1xy' to each side of the equation. -10 + -1x + -1xy = xy + -1xy + z Combine like terms: xy + -1xy = 0 -10 + -1x + -1xy = 0 + z -10 + -1x + -1xy = z Add '10' to each side of the equation. -10 + -1x + 10 + -1xy = 10 + z Reorder the terms: -10 + 10 + -1x + -1xy = 10 + z Combine like terms: -10 + 10 = 0 0 + -1x + -1xy = 10 + z -1x + -1xy = 10 + z Reorder the terms: -10 + -1x + -1xy + -1z = 10 + z + -10 + -1z Reorder the terms: -10 + -1x + -1xy + -1z = 10 + -10 + z + -1z Combine like terms: 10 + -10 = 0 -10 + -1x + -1xy + -1z = 0 + z + -1z -10 + -1x + -1xy + -1z = z + -1z Combine like terms: z + -1z = 0 -10 + -1x + -1xy + -1z = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + x + xy + z) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + x + xy + z)' equal to zero and attempt to solve: Simplifying 10 + x + xy + z = 0 Solving 10 + x + xy + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + x + xy + -10 + z = 0 + -10 Reorder the terms: 10 + -10 + x + xy + z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x + xy + z = 0 + -10 x + xy + z = 0 + -10 Combine like terms: 0 + -10 = -10 x + xy + z = -10 Add '-1z' to each side of the equation. x + xy + z + -1z = -10 + -1z Combine like terms: z + -1z = 0 x + xy + 0 = -10 + -1z x + xy = -10 + -1z 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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