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Simplifying 10abc + -4 + -2a + 20bc = 0 Reorder the terms: -4 + -2a + 10abc + 20bc = 0 Solving -4 + -2a + 10abc + 20bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2a + 10abc + 4 + 20bc = 0 + 4 Reorder the terms: -4 + 4 + -2a + 10abc + 20bc = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2a + 10abc + 20bc = 0 + 4 -2a + 10abc + 20bc = 0 + 4 Combine like terms: 0 + 4 = 4 -2a + 10abc + 20bc = 4 Add '-20bc' to each side of the equation. -2a + 10abc + 20bc + -20bc = 4 + -20bc Combine like terms: 20bc + -20bc = 0 -2a + 10abc + 0 = 4 + -20bc -2a + 10abc = 4 + -20bc Reorder the terms: -4 + -2a + 10abc + 20bc = 4 + -20bc + -4 + 20bc Reorder the terms: -4 + -2a + 10abc + 20bc = 4 + -4 + -20bc + 20bc Combine like terms: 4 + -4 = 0 -4 + -2a + 10abc + 20bc = 0 + -20bc + 20bc -4 + -2a + 10abc + 20bc = -20bc + 20bc Combine like terms: -20bc + 20bc = 0 -4 + -2a + 10abc + 20bc = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -1a + 5abc + 10bc) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1a + 5abc + 10bc)' equal to zero and attempt to solve: Simplifying -2 + -1a + 5abc + 10bc = 0 Solving -2 + -1a + 5abc + 10bc = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1a + 5abc + 2 + 10bc = 0 + 2 Reorder the terms: -2 + 2 + -1a + 5abc + 10bc = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a + 5abc + 10bc = 0 + 2 -1a + 5abc + 10bc = 0 + 2 Combine like terms: 0 + 2 = 2 -1a + 5abc + 10bc = 2 Add '-10bc' to each side of the equation. -1a + 5abc + 10bc + -10bc = 2 + -10bc Combine like terms: 10bc + -10bc = 0 -1a + 5abc + 0 = 2 + -10bc -1a + 5abc = 2 + -10bc 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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