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