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Simplifying (3x + -2) * by(3x + -2y) = 0 Reorder the terms: (-2 + 3x) * by(3x + -2y) = 0 Reorder the terms for easier multiplication: by(-2 + 3x)(3x + -2y) = 0 Multiply (-2 + 3x) * (3x + -2y) by(-2(3x + -2y) + 3x * (3x + -2y)) = 0 by((3x * -2 + -2y * -2) + 3x * (3x + -2y)) = 0 by((-6x + 4y) + 3x * (3x + -2y)) = 0 by(-6x + 4y + (3x * 3x + -2y * 3x)) = 0 Reorder the terms: by(-6x + 4y + (-6xy + 9x2)) = 0 by(-6x + 4y + (-6xy + 9x2)) = 0 Reorder the terms: by(-6x + -6xy + 9x2 + 4y) = 0 by(-6x + -6xy + 9x2 + 4y) = 0 (-6x * by + -6xy * by + 9x2 * by + 4y * by) = 0 (-6bxy + -6bxy2 + 9bx2y + 4by2) = 0 Solving -6bxy + -6bxy2 + 9bx2y + 4by2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'by'. by(-6x + -6xy + 9x2 + 4y) = 0Subproblem 1
Set the factor 'by' equal to zero and attempt to solve: Simplifying by = 0 Solving by = 0 Move all terms containing b to the left, all other terms to the right. Simplifying by = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-6x + -6xy + 9x2 + 4y)' equal to zero and attempt to solve: Simplifying -6x + -6xy + 9x2 + 4y = 0 Solving -6x + -6xy + 9x2 + 4y = 0 Move all terms containing b to the left, all other terms to the right. Add '6x' to each side of the equation. -6x + -6xy + 9x2 + 6x + 4y = 0 + 6x Reorder the terms: -6x + 6x + -6xy + 9x2 + 4y = 0 + 6x Combine like terms: -6x + 6x = 0 0 + -6xy + 9x2 + 4y = 0 + 6x -6xy + 9x2 + 4y = 0 + 6x Remove the zero: -6xy + 9x2 + 4y = 6x Add '6xy' to each side of the equation. -6xy + 9x2 + 6xy + 4y = 6x + 6xy Reorder the terms: -6xy + 6xy + 9x2 + 4y = 6x + 6xy Combine like terms: -6xy + 6xy = 0 0 + 9x2 + 4y = 6x + 6xy 9x2 + 4y = 6x + 6xy Add '-9x2' to each side of the equation. 9x2 + -9x2 + 4y = 6x + 6xy + -9x2 Combine like terms: 9x2 + -9x2 = 0 0 + 4y = 6x + 6xy + -9x2 4y = 6x + 6xy + -9x2 Add '-4y' to each side of the equation. 4y + -4y = 6x + 6xy + -9x2 + -4y Combine like terms: 4y + -4y = 0 0 = 6x + 6xy + -9x2 + -4y Simplifying 0 = 6x + 6xy + -9x2 + -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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