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Simplifying 3(x + -2) + -3 = 6x + -3(4 + xz) Reorder the terms: 3(-2 + x) + -3 = 6x + -3(4 + xz) (-2 * 3 + x * 3) + -3 = 6x + -3(4 + xz) (-6 + 3x) + -3 = 6x + -3(4 + xz) Reorder the terms: -6 + -3 + 3x = 6x + -3(4 + xz) Combine like terms: -6 + -3 = -9 -9 + 3x = 6x + -3(4 + xz) -9 + 3x = 6x + (4 * -3 + xz * -3) -9 + 3x = 6x + (-12 + -3xz) Reorder the terms: -9 + 3x = -12 + 6x + -3xz Solving -9 + 3x = -12 + 6x + -3xz Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 3x + -6x = -12 + 6x + -6x + -3xz Combine like terms: 3x + -6x = -3x -9 + -3x = -12 + 6x + -6x + -3xz Combine like terms: 6x + -6x = 0 -9 + -3x = -12 + 0 + -3xz -9 + -3x = -12 + -3xz Add '3xz' to each side of the equation. -9 + -3x + 3xz = -12 + -3xz + 3xz Combine like terms: -3xz + 3xz = 0 -9 + -3x + 3xz = -12 + 0 -9 + -3x + 3xz = -12 Add '9' to each side of the equation. -9 + -3x + 9 + 3xz = -12 + 9 Reorder the terms: -9 + 9 + -3x + 3xz = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -3x + 3xz = -12 + 9 -3x + 3xz = -12 + 9 Combine like terms: -12 + 9 = -3 -3x + 3xz = -3 Reorder the terms: 3 + -3x + 3xz = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -3x + 3xz = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -1x + xz) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1x + xz)' equal to zero and attempt to solve: Simplifying 1 + -1x + xz = 0 Solving 1 + -1x + xz = 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 + xz = 0 + -1 Reorder the terms: 1 + -1 + -1x + xz = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + xz = 0 + -1 -1x + xz = 0 + -1 Combine like terms: 0 + -1 = -1 -1x + xz = -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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