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Simplifying G(x2 + 8x) = (x2 + 8x) + 8(x2 + 8x) Reorder the terms: G(8x + x2) = (x2 + 8x) + 8(x2 + 8x) (8x * G + x2 * G) = (x2 + 8x) + 8(x2 + 8x) (8xG + x2G) = (x2 + 8x) + 8(x2 + 8x) Reorder the terms: 8xG + x2G = (8x + x2) + 8(x2 + 8x) Remove parenthesis around (8x + x2) 8xG + x2G = 8x + x2 + 8(x2 + 8x) Reorder the terms: 8xG + x2G = 8x + x2 + 8(8x + x2) 8xG + x2G = 8x + x2 + (8x * 8 + x2 * 8) 8xG + x2G = 8x + x2 + (64x + 8x2) Reorder the terms: 8xG + x2G = 8x + 64x + x2 + 8x2 Combine like terms: 8x + 64x = 72x 8xG + x2G = 72x + x2 + 8x2 Combine like terms: x2 + 8x2 = 9x2 8xG + x2G = 72x + 9x2 Solving 8xG + x2G = 72x + 9x2 Solving for variable 'x'. Reorder the terms: -72x + 8xG + -9x2 + x2G = 72x + 9x2 + -72x + -9x2 Reorder the terms: -72x + 8xG + -9x2 + x2G = 72x + -72x + 9x2 + -9x2 Combine like terms: 72x + -72x = 0 -72x + 8xG + -9x2 + x2G = 0 + 9x2 + -9x2 -72x + 8xG + -9x2 + x2G = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -72x + 8xG + -9x2 + x2G = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-72 + 8G + -9x + xG) = 0Subproblem 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 '(-72 + 8G + -9x + xG)' equal to zero and attempt to solve: Simplifying -72 + 8G + -9x + xG = 0 Solving -72 + 8G + -9x + xG = 0 Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 8G + -9x + 72 + xG = 0 + 72 Reorder the terms: -72 + 72 + 8G + -9x + xG = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 8G + -9x + xG = 0 + 72 8G + -9x + xG = 0 + 72 Combine like terms: 0 + 72 = 72 8G + -9x + xG = 72 Add '-8G' to each side of the equation. 8G + -9x + -8G + xG = 72 + -8G Reorder the terms: 8G + -8G + -9x + xG = 72 + -8G Combine like terms: 8G + -8G = 0 0 + -9x + xG = 72 + -8G -9x + xG = 72 + -8G 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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