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Simplifying 2x + -3y(6x + 2y) = 8 2x + (6x * -3y + 2y * -3y) = 8 2x + (-18xy + -6y2) = 8 Solving 2x + -18xy + -6y2 = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y2' to each side of the equation. 2x + -18xy + -6y2 + 6y2 = 8 + 6y2 Combine like terms: -6y2 + 6y2 = 0 2x + -18xy + 0 = 8 + 6y2 2x + -18xy = 8 + 6y2 Reorder the terms: -8 + 2x + -18xy + -6y2 = 8 + 6y2 + -8 + -6y2 Reorder the terms: -8 + 2x + -18xy + -6y2 = 8 + -8 + 6y2 + -6y2 Combine like terms: 8 + -8 = 0 -8 + 2x + -18xy + -6y2 = 0 + 6y2 + -6y2 -8 + 2x + -18xy + -6y2 = 6y2 + -6y2 Combine like terms: 6y2 + -6y2 = 0 -8 + 2x + -18xy + -6y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + x + -9xy + -3y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + x + -9xy + -3y2)' equal to zero and attempt to solve: Simplifying -4 + x + -9xy + -3y2 = 0 Solving -4 + x + -9xy + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + x + -9xy + 4 + -3y2 = 0 + 4 Reorder the terms: -4 + 4 + x + -9xy + -3y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x + -9xy + -3y2 = 0 + 4 x + -9xy + -3y2 = 0 + 4 Combine like terms: 0 + 4 = 4 x + -9xy + -3y2 = 4 Add '3y2' to each side of the equation. x + -9xy + -3y2 + 3y2 = 4 + 3y2 Combine like terms: -3y2 + 3y2 = 0 x + -9xy + 0 = 4 + 3y2 x + -9xy = 4 + 3y2 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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