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Simplifying 3x(10 + 5y) + -15y = 30 (10 * 3x + 5y * 3x) + -15y = 30 (30x + 15xy) + -15y = 30 Solving 30x + 15xy + -15y = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 30x + 15xy + -15y + 15y = 30 + 15y Combine like terms: -15y + 15y = 0 30x + 15xy + 0 = 30 + 15y 30x + 15xy = 30 + 15y Reorder the terms: -30 + 30x + 15xy + -15y = 30 + 15y + -30 + -15y Reorder the terms: -30 + 30x + 15xy + -15y = 30 + -30 + 15y + -15y Combine like terms: 30 + -30 = 0 -30 + 30x + 15xy + -15y = 0 + 15y + -15y -30 + 30x + 15xy + -15y = 15y + -15y Combine like terms: 15y + -15y = 0 -30 + 30x + 15xy + -15y = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(-2 + 2x + xy + -1y) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(-2 + 2x + xy + -1y)' equal to zero and attempt to solve: Simplifying -2 + 2x + xy + -1y = 0 Solving -2 + 2x + xy + -1y = 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 + xy + 2 + -1y = 0 + 2 Reorder the terms: -2 + 2 + 2x + xy + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + xy + -1y = 0 + 2 2x + xy + -1y = 0 + 2 Combine like terms: 0 + 2 = 2 2x + xy + -1y = 2 Add 'y' to each side of the equation. 2x + xy + -1y + y = 2 + y Combine like terms: -1y + y = 0 2x + xy + 0 = 2 + y 2x + xy = 2 + y 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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