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