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Simplifying 3x + 2y(-3x + 6) = 15 Reorder the terms: 3x + 2y(6 + -3x) = 15 3x + (6 * 2y + -3x * 2y) = 15 Reorder the terms: 3x + (-6xy + 12y) = 15 3x + (-6xy + 12y) = 15 Solving 3x + -6xy + 12y = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 3x + -6xy + 12y + -12y = 15 + -12y Combine like terms: 12y + -12y = 0 3x + -6xy + 0 = 15 + -12y 3x + -6xy = 15 + -12y Reorder the terms: -15 + 3x + -6xy + 12y = 15 + -12y + -15 + 12y Reorder the terms: -15 + 3x + -6xy + 12y = 15 + -15 + -12y + 12y Combine like terms: 15 + -15 = 0 -15 + 3x + -6xy + 12y = 0 + -12y + 12y -15 + 3x + -6xy + 12y = -12y + 12y Combine like terms: -12y + 12y = 0 -15 + 3x + -6xy + 12y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + x + -2xy + 4y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + x + -2xy + 4y)' equal to zero and attempt to solve: Simplifying -5 + x + -2xy + 4y = 0 Solving -5 + x + -2xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + x + -2xy + 5 + 4y = 0 + 5 Reorder the terms: -5 + 5 + x + -2xy + 4y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x + -2xy + 4y = 0 + 5 x + -2xy + 4y = 0 + 5 Combine like terms: 0 + 5 = 5 x + -2xy + 4y = 5 Add '-4y' to each side of the equation. x + -2xy + 4y + -4y = 5 + -4y Combine like terms: 4y + -4y = 0 x + -2xy + 0 = 5 + -4y x + -2xy = 5 + -4y 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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