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Simplifying 3abx + -3b2x + -3ab + 3b2 = 0 Reorder the terms: -3ab + 3abx + 3b2 + -3b2x = 0 Solving -3ab + 3abx + 3b2 + -3b2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b2' to each side of the equation. -3ab + 3abx + 3b2 + -3b2 + -3b2x = 0 + -3b2 Combine like terms: 3b2 + -3b2 = 0 -3ab + 3abx + 0 + -3b2x = 0 + -3b2 -3ab + 3abx + -3b2x = 0 + -3b2 Remove the zero: -3ab + 3abx + -3b2x = -3b2 Add '3b2x' to each side of the equation. -3ab + 3abx + -3b2x + 3b2x = -3b2 + 3b2x Combine like terms: -3b2x + 3b2x = 0 -3ab + 3abx + 0 = -3b2 + 3b2x -3ab + 3abx = -3b2 + 3b2x Reorder the terms: -3ab + 3abx + 3b2 + -3b2x = -3b2 + 3b2 + 3b2x + -3b2x Combine like terms: -3b2 + 3b2 = 0 -3ab + 3abx + 3b2 + -3b2x = 0 + 3b2x + -3b2x -3ab + 3abx + 3b2 + -3b2x = 3b2x + -3b2x Combine like terms: 3b2x + -3b2x = 0 -3ab + 3abx + 3b2 + -3b2x = 0 Factor out the Greatest Common Factor (GCF), '3b'. 3b(-1a + ax + b + -1bx) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(-1a + ax + b + -1bx)' equal to zero and attempt to solve: Simplifying -1a + ax + b + -1bx = 0 Solving -1a + ax + b + -1bx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -1a + ax + b + -1b + -1bx = 0 + -1b Combine like terms: b + -1b = 0 -1a + ax + 0 + -1bx = 0 + -1b -1a + ax + -1bx = 0 + -1b Remove the zero: -1a + ax + -1bx = -1b Add 'bx' to each side of the equation. -1a + ax + -1bx + bx = -1b + bx Combine like terms: -1bx + bx = 0 -1a + ax + 0 = -1b + bx -1a + ax = -1b + bx 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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