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Simplifying 45y(1 + -1x) = 3x (1 * 45y + -1x * 45y) = 3x Reorder the terms: (-45xy + 45y) = 3x (-45xy + 45y) = 3x Solving -45xy + 45y = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45xy + -3x + 45y = 3x + -3x Reorder the terms: -3x + -45xy + 45y = 3x + -3x Combine like terms: 3x + -3x = 0 -3x + -45xy + 45y = 0 Add '-45y' to each side of the equation. -3x + -45xy + 45y + -45y = 0 + -45y Combine like terms: 45y + -45y = 0 -3x + -45xy + 0 = 0 + -45y -3x + -45xy = 0 + -45y Remove the zero: -3x + -45xy = -45y Combine like terms: -45y + 45y = 0 -3x + -45xy + 45y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1x + -15xy + 15y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1x + -15xy + 15y)' equal to zero and attempt to solve: Simplifying -1x + -15xy + 15y = 0 Solving -1x + -15xy + 15y = 0 Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. -1x + -15xy + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 -1x + -15xy + 0 = 0 + -15y -1x + -15xy = 0 + -15y Remove the zero: -1x + -15xy = -15y 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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