32ax^2+12bx-48ay+18by=0

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Solution for 32ax^2+12bx-48ay+18by=0 equation:


Simplifying
32ax2 + 12bx + -48ay + 18by = 0

Reorder the terms:
32ax2 + -48ay + 12bx + 18by = 0

Solving
32ax2 + -48ay + 12bx + 18by = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-12bx' to each side of the equation.
32ax2 + -48ay + 12bx + -12bx + 18by = 0 + -12bx

Combine like terms: 12bx + -12bx = 0
32ax2 + -48ay + 0 + 18by = 0 + -12bx
32ax2 + -48ay + 18by = 0 + -12bx
Remove the zero:
32ax2 + -48ay + 18by = -12bx

Add '-18by' to each side of the equation.
32ax2 + -48ay + 18by + -18by = -12bx + -18by

Combine like terms: 18by + -18by = 0
32ax2 + -48ay + 0 = -12bx + -18by
32ax2 + -48ay = -12bx + -18by

Reorder the terms:
32ax2 + -48ay + 12bx + 18by = -12bx + 12bx + -18by + 18by

Combine like terms: -12bx + 12bx = 0
32ax2 + -48ay + 12bx + 18by = 0 + -18by + 18by
32ax2 + -48ay + 12bx + 18by = -18by + 18by

Combine like terms: -18by + 18by = 0
32ax2 + -48ay + 12bx + 18by = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(16ax2 + -24ay + 6bx + 9by) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(16ax2 + -24ay + 6bx + 9by)' equal to zero and attempt to solve: Simplifying 16ax2 + -24ay + 6bx + 9by = 0 Solving 16ax2 + -24ay + 6bx + 9by = 0 Move all terms containing a to the left, all other terms to the right. Add '-6bx' to each side of the equation. 16ax2 + -24ay + 6bx + -6bx + 9by = 0 + -6bx Combine like terms: 6bx + -6bx = 0 16ax2 + -24ay + 0 + 9by = 0 + -6bx 16ax2 + -24ay + 9by = 0 + -6bx Remove the zero: 16ax2 + -24ay + 9by = -6bx Add '-9by' to each side of the equation. 16ax2 + -24ay + 9by + -9by = -6bx + -9by Combine like terms: 9by + -9by = 0 16ax2 + -24ay + 0 = -6bx + -9by 16ax2 + -24ay = -6bx + -9by 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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