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