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Simplifying 8ax + -24a + -4bx + 12b = 0 Reorder the terms: -24a + 8ax + 12b + -4bx = 0 Solving -24a + 8ax + 12b + -4bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. -24a + 8ax + 12b + -12b + -4bx = 0 + -12b Combine like terms: 12b + -12b = 0 -24a + 8ax + 0 + -4bx = 0 + -12b -24a + 8ax + -4bx = 0 + -12b Remove the zero: -24a + 8ax + -4bx = -12b Add '4bx' to each side of the equation. -24a + 8ax + -4bx + 4bx = -12b + 4bx Combine like terms: -4bx + 4bx = 0 -24a + 8ax + 0 = -12b + 4bx -24a + 8ax = -12b + 4bx Reorder the terms: -24a + 8ax + 12b + -4bx = -12b + 12b + 4bx + -4bx Combine like terms: -12b + 12b = 0 -24a + 8ax + 12b + -4bx = 0 + 4bx + -4bx -24a + 8ax + 12b + -4bx = 4bx + -4bx Combine like terms: 4bx + -4bx = 0 -24a + 8ax + 12b + -4bx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6a + 2ax + 3b + -1bx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6a + 2ax + 3b + -1bx)' equal to zero and attempt to solve: Simplifying -6a + 2ax + 3b + -1bx = 0 Solving -6a + 2ax + 3b + -1bx = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -6a + 2ax + 3b + -3b + -1bx = 0 + -3b Combine like terms: 3b + -3b = 0 -6a + 2ax + 0 + -1bx = 0 + -3b -6a + 2ax + -1bx = 0 + -3b Remove the zero: -6a + 2ax + -1bx = -3b Add 'bx' to each side of the equation. -6a + 2ax + -1bx + bx = -3b + bx Combine like terms: -1bx + bx = 0 -6a + 2ax + 0 = -3b + bx -6a + 2ax = -3b + 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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