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Simplifying -2x = 1 + 3zx + 10y Solving -2x = 1 + 3xz + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3xz' to each side of the equation. -2x + -3xz = 1 + 3xz + -3xz + 10y Combine like terms: 3xz + -3xz = 0 -2x + -3xz = 1 + 0 + 10y -2x + -3xz = 1 + 10y Reorder the terms: -1 + -2x + -3xz + -10y = 1 + 10y + -1 + -10y Reorder the terms: -1 + -2x + -3xz + -10y = 1 + -1 + 10y + -10y Combine like terms: 1 + -1 = 0 -1 + -2x + -3xz + -10y = 0 + 10y + -10y -1 + -2x + -3xz + -10y = 10y + -10y Combine like terms: 10y + -10y = 0 -1 + -2x + -3xz + -10y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 2x + 3xz + 10y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 2x + 3xz + 10y)' equal to zero and attempt to solve: Simplifying 1 + 2x + 3xz + 10y = 0 Solving 1 + 2x + 3xz + 10y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2x + 3xz + -1 + 10y = 0 + -1 Reorder the terms: 1 + -1 + 2x + 3xz + 10y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + 3xz + 10y = 0 + -1 2x + 3xz + 10y = 0 + -1 Combine like terms: 0 + -1 = -1 2x + 3xz + 10y = -1 Add '-10y' to each side of the equation. 2x + 3xz + 10y + -10y = -1 + -10y Combine like terms: 10y + -10y = 0 2x + 3xz + 0 = -1 + -10y 2x + 3xz = -1 + -10y 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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