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