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Simplifying 0 = 2ax + 6ay + bx + 3by Solving 0 = 2ax + 6ay + bx + 3by Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ax' to each side of the equation. 0 + -2ax = 2ax + 6ay + bx + -2ax + 3by Remove the zero: -2ax = 2ax + 6ay + bx + -2ax + 3by Reorder the terms: -2ax = 2ax + -2ax + 6ay + bx + 3by Combine like terms: 2ax + -2ax = 0 -2ax = 0 + 6ay + bx + 3by -2ax = 6ay + bx + 3by Add '-6ay' to each side of the equation. -2ax + -6ay = 6ay + bx + -6ay + 3by Reorder the terms: -2ax + -6ay = 6ay + -6ay + bx + 3by Combine like terms: 6ay + -6ay = 0 -2ax + -6ay = 0 + bx + 3by -2ax + -6ay = bx + 3by Reorder the terms: -2ax + -6ay + -1bx + -3by = bx + -1bx + 3by + -3by Combine like terms: bx + -1bx = 0 -2ax + -6ay + -1bx + -3by = 0 + 3by + -3by -2ax + -6ay + -1bx + -3by = 3by + -3by Combine like terms: 3by + -3by = 0 -2ax + -6ay + -1bx + -3by = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2ax + 6ay + bx + 3by) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2ax + 6ay + bx + 3by)' equal to zero and attempt to solve: Simplifying 2ax + 6ay + bx + 3by = 0 Solving 2ax + 6ay + bx + 3by = 0 Move all terms containing a to the left, all other terms to the right. Add '-1bx' to each side of the equation. 2ax + 6ay + bx + -1bx + 3by = 0 + -1bx Combine like terms: bx + -1bx = 0 2ax + 6ay + 0 + 3by = 0 + -1bx 2ax + 6ay + 3by = 0 + -1bx Remove the zero: 2ax + 6ay + 3by = -1bx Add '-3by' to each side of the equation. 2ax + 6ay + 3by + -3by = -1bx + -3by Combine like terms: 3by + -3by = 0 2ax + 6ay + 0 = -1bx + -3by 2ax + 6ay = -1bx + -3by 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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