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Simplifying 3abx + -21ax + -12bx + 84x = 0 Solving 3abx + -21ax + -12bx + 84x = 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. 3abx + -21ax + -12bx + 12bx + 84x = 0 + 12bx Combine like terms: -12bx + 12bx = 0 3abx + -21ax + 0 + 84x = 0 + 12bx 3abx + -21ax + 84x = 0 + 12bx Remove the zero: 3abx + -21ax + 84x = 12bx Add '-84x' to each side of the equation. 3abx + -21ax + 84x + -84x = 12bx + -84x Combine like terms: 84x + -84x = 0 3abx + -21ax + 0 = 12bx + -84x 3abx + -21ax = 12bx + -84x Reorder the terms: 3abx + -21ax + -12bx + 84x = 12bx + -12bx + -84x + 84x Combine like terms: 12bx + -12bx = 0 3abx + -21ax + -12bx + 84x = 0 + -84x + 84x 3abx + -21ax + -12bx + 84x = -84x + 84x Combine like terms: -84x + 84x = 0 3abx + -21ax + -12bx + 84x = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(ab + -7a + -4b + 28) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(ab + -7a + -4b + 28)' equal to zero and attempt to solve: Simplifying ab + -7a + -4b + 28 = 0 Reorder the terms: 28 + -7a + ab + -4b = 0 Solving 28 + -7a + ab + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -7a + ab + -28 + -4b = 0 + -28 Reorder the terms: 28 + -28 + -7a + ab + -4b = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -7a + ab + -4b = 0 + -28 -7a + ab + -4b = 0 + -28 Combine like terms: 0 + -28 = -28 -7a + ab + -4b = -28 Add '4b' to each side of the equation. -7a + ab + -4b + 4b = -28 + 4b Combine like terms: -4b + 4b = 0 -7a + ab + 0 = -28 + 4b -7a + ab = -28 + 4b 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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