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Simplifying 8x(30 + 2) = (8xz) Combine like terms: 30 + 2 = 32 8x(32) = (8xz) Reorder the terms for easier multiplication: 8 * 32x = (8xz) Multiply 8 * 32 256x = (8xz) Solving 256x = (8xz) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-8xz)' to each side of the equation. 256x + (-8xz) = (8xz) + (-8xz) Combine like terms: (8xz) + (-8xz) = 0 256x + (-8xz) = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(32 + (-1z)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(32 + (-1z))' equal to zero and attempt to solve: Simplifying 32 + (-1z) = 0 Solving 32 + (-1z) = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + (-1z) = 0 + -32 Combine like terms: 32 + -32 = 0 0 + (-1z) = 0 + -32 (-1z) = 0 + -32 Combine like terms: 0 + -32 = -32 (-1z) = -32 Add '(z)' to each side of the equation. (-1z) + (z) = -32 + (z) (-1z) + z = -32 + (z) Combine like terms: (-1z) + z = 0 0 = -32 + (z) 0 = -32 + z Simplifying 0 = -32 + z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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