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Simplifying 2ax + -4bx + 2ay + -4by = 0 Reorder the terms: 2ax + 2ay + -4bx + -4by = 0 Solving 2ax + 2ay + -4bx + -4by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4bx' to each side of the equation. 2ax + 2ay + -4bx + 4bx + -4by = 0 + 4bx Combine like terms: -4bx + 4bx = 0 2ax + 2ay + 0 + -4by = 0 + 4bx 2ax + 2ay + -4by = 0 + 4bx Remove the zero: 2ax + 2ay + -4by = 4bx Add '4by' to each side of the equation. 2ax + 2ay + -4by + 4by = 4bx + 4by Combine like terms: -4by + 4by = 0 2ax + 2ay + 0 = 4bx + 4by 2ax + 2ay = 4bx + 4by Reorder the terms: 2ax + 2ay + -4bx + -4by = 4bx + -4bx + 4by + -4by Combine like terms: 4bx + -4bx = 0 2ax + 2ay + -4bx + -4by = 0 + 4by + -4by 2ax + 2ay + -4bx + -4by = 4by + -4by Combine like terms: 4by + -4by = 0 2ax + 2ay + -4bx + -4by = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(ax + ay + -2bx + -2by) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(ax + ay + -2bx + -2by)' equal to zero and attempt to solve: Simplifying ax + ay + -2bx + -2by = 0 Solving ax + ay + -2bx + -2by = 0 Move all terms containing a to the left, all other terms to the right. Add '2bx' to each side of the equation. ax + ay + -2bx + 2bx + -2by = 0 + 2bx Combine like terms: -2bx + 2bx = 0 ax + ay + 0 + -2by = 0 + 2bx ax + ay + -2by = 0 + 2bx Remove the zero: ax + ay + -2by = 2bx Add '2by' to each side of the equation. ax + ay + -2by + 2by = 2bx + 2by Combine like terms: -2by + 2by = 0 ax + ay + 0 = 2bx + 2by ax + ay = 2bx + 2by 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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