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Simplifying 8x(y + 12) = 100 Reorder the terms: 8x(12 + y) = 100 (12 * 8x + y * 8x) = 100 (96x + 8xy) = 100 Solving 96x + 8xy = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -100 + 96x + 8xy = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 96x + 8xy = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-25 + 24x + 2xy) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-25 + 24x + 2xy)' equal to zero and attempt to solve: Simplifying -25 + 24x + 2xy = 0 Solving -25 + 24x + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 24x + 25 + 2xy = 0 + 25 Reorder the terms: -25 + 25 + 24x + 2xy = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 24x + 2xy = 0 + 25 24x + 2xy = 0 + 25 Combine like terms: 0 + 25 = 25 24x + 2xy = 25 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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