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Simplifying (z + 2)(5x + -5) = 0 Reorder the terms: (2 + z)(5x + -5) = 0 Reorder the terms: (2 + z)(-5 + 5x) = 0 Multiply (2 + z) * (-5 + 5x) (2(-5 + 5x) + z(-5 + 5x)) = 0 ((-5 * 2 + 5x * 2) + z(-5 + 5x)) = 0 ((-10 + 10x) + z(-5 + 5x)) = 0 (-10 + 10x + (-5 * z + 5x * z)) = 0 Reorder the terms: (-10 + 10x + (5xz + -5z)) = 0 (-10 + 10x + (5xz + -5z)) = 0 (-10 + 10x + 5xz + -5z) = 0 Solving -10 + 10x + 5xz + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10x + 5xz + 10 + -5z = 0 + 10 Reorder the terms: -10 + 10 + 10x + 5xz + -5z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 10x + 5xz + -5z = 0 + 10 10x + 5xz + -5z = 0 + 10 Combine like terms: 0 + 10 = 10 10x + 5xz + -5z = 10 Add '5z' to each side of the equation. 10x + 5xz + -5z + 5z = 10 + 5z Combine like terms: -5z + 5z = 0 10x + 5xz + 0 = 10 + 5z 10x + 5xz = 10 + 5z Reorder the terms: -10 + 10x + 5xz + -5z = 10 + 5z + -10 + -5z Reorder the terms: -10 + 10x + 5xz + -5z = 10 + -10 + 5z + -5z Combine like terms: 10 + -10 = 0 -10 + 10x + 5xz + -5z = 0 + 5z + -5z -10 + 10x + 5xz + -5z = 5z + -5z Combine like terms: 5z + -5z = 0 -10 + 10x + 5xz + -5z = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + 2x + xz + -1z) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + 2x + xz + -1z)' equal to zero and attempt to solve: Simplifying -2 + 2x + xz + -1z = 0 Solving -2 + 2x + xz + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2x + xz + 2 + -1z = 0 + 2 Reorder the terms: -2 + 2 + 2x + xz + -1z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + xz + -1z = 0 + 2 2x + xz + -1z = 0 + 2 Combine like terms: 0 + 2 = 2 2x + xz + -1z = 2 Add 'z' to each side of the equation. 2x + xz + -1z + z = 2 + z Combine like terms: -1z + z = 0 2x + xz + 0 = 2 + z 2x + xz = 2 + z 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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