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Simplifying 3x + -3y(-2x + 5) = 3 Reorder the terms: 3x + -3y(5 + -2x) = 3 3x + (5 * -3y + -2x * -3y) = 3 Reorder the terms: 3x + (6xy + -15y) = 3 3x + (6xy + -15y) = 3 Solving 3x + 6xy + -15y = 3 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. 3x + 6xy + -15y + 15y = 3 + 15y Combine like terms: -15y + 15y = 0 3x + 6xy + 0 = 3 + 15y 3x + 6xy = 3 + 15y Reorder the terms: -3 + 3x + 6xy + -15y = 3 + 15y + -3 + -15y Reorder the terms: -3 + 3x + 6xy + -15y = 3 + -3 + 15y + -15y Combine like terms: 3 + -3 = 0 -3 + 3x + 6xy + -15y = 0 + 15y + -15y -3 + 3x + 6xy + -15y = 15y + -15y Combine like terms: 15y + -15y = 0 -3 + 3x + 6xy + -15y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + x + 2xy + -5y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + x + 2xy + -5y)' equal to zero and attempt to solve: Simplifying -1 + x + 2xy + -5y = 0 Solving -1 + x + 2xy + -5y = 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 + 2xy + 1 + -5y = 0 + 1 Reorder the terms: -1 + 1 + x + 2xy + -5y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x + 2xy + -5y = 0 + 1 x + 2xy + -5y = 0 + 1 Combine like terms: 0 + 1 = 1 x + 2xy + -5y = 1 Add '5y' to each side of the equation. x + 2xy + -5y + 5y = 1 + 5y Combine like terms: -5y + 5y = 0 x + 2xy + 0 = 1 + 5y x + 2xy = 1 + 5y 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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