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Simplifying 15x(y + 8) + 3(y + 8) = 0 Reorder the terms: 15x(8 + y) + 3(y + 8) = 0 (8 * 15x + y * 15x) + 3(y + 8) = 0 (120x + 15xy) + 3(y + 8) = 0 Reorder the terms: 120x + 15xy + 3(8 + y) = 0 120x + 15xy + (8 * 3 + y * 3) = 0 120x + 15xy + (24 + 3y) = 0 Reorder the terms: 24 + 120x + 15xy + 3y = 0 Solving 24 + 120x + 15xy + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 120x + 15xy + -24 + 3y = 0 + -24 Reorder the terms: 24 + -24 + 120x + 15xy + 3y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 120x + 15xy + 3y = 0 + -24 120x + 15xy + 3y = 0 + -24 Combine like terms: 0 + -24 = -24 120x + 15xy + 3y = -24 Add '-3y' to each side of the equation. 120x + 15xy + 3y + -3y = -24 + -3y Combine like terms: 3y + -3y = 0 120x + 15xy + 0 = -24 + -3y 120x + 15xy = -24 + -3y Reorder the terms: 24 + 120x + 15xy + 3y = -24 + -3y + 24 + 3y Reorder the terms: 24 + 120x + 15xy + 3y = -24 + 24 + -3y + 3y Combine like terms: -24 + 24 = 0 24 + 120x + 15xy + 3y = 0 + -3y + 3y 24 + 120x + 15xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 24 + 120x + 15xy + 3y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + 40x + 5xy + y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + 40x + 5xy + y)' equal to zero and attempt to solve: Simplifying 8 + 40x + 5xy + y = 0 Solving 8 + 40x + 5xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 40x + 5xy + -8 + y = 0 + -8 Reorder the terms: 8 + -8 + 40x + 5xy + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 40x + 5xy + y = 0 + -8 40x + 5xy + y = 0 + -8 Combine like terms: 0 + -8 = -8 40x + 5xy + y = -8 Add '-1y' to each side of the equation. 40x + 5xy + y + -1y = -8 + -1y Combine like terms: y + -1y = 0 40x + 5xy + 0 = -8 + -1y 40x + 5xy = -8 + -1y 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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