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Simplifying 2ax + -5ac = 3c(a + 4b) Reorder the terms: -5ac + 2ax = 3c(a + 4b) -5ac + 2ax = (a * 3c + 4b * 3c) -5ac + 2ax = (3ac + 12bc) Solving -5ac + 2ax = 3ac + 12bc Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3ac' to each side of the equation. -5ac + -3ac + 2ax = 3ac + -3ac + 12bc Combine like terms: -5ac + -3ac = -8ac -8ac + 2ax = 3ac + -3ac + 12bc Combine like terms: 3ac + -3ac = 0 -8ac + 2ax = 0 + 12bc -8ac + 2ax = 12bc Combine like terms: 12bc + -12bc = 0 -8ac + 2ax + -12bc = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4ac + ax + -6bc) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4ac + ax + -6bc)' equal to zero and attempt to solve: Simplifying -4ac + ax + -6bc = 0 Solving -4ac + ax + -6bc = 0 Move all terms containing a to the left, all other terms to the right. Add '6bc' to each side of the equation. -4ac + ax + -6bc + 6bc = 0 + 6bc Combine like terms: -6bc + 6bc = 0 -4ac + ax + 0 = 0 + 6bc -4ac + ax = 0 + 6bc Remove the zero: -4ac + ax = 6bc 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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