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Simplifying 20abc + 15a2c + -10ac = 0 Reorder the terms: 20abc + -10ac + 15a2c = 0 Solving 20abc + -10ac + 15a2c = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ac'. 5ac(4b + -2 + 3a) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'ac' equal to zero and attempt to solve: Simplifying ac = 0 Solving ac = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ac = 0 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 '(4b + -2 + 3a)' equal to zero and attempt to solve: Simplifying 4b + -2 + 3a = 0 Reorder the terms: -2 + 3a + 4b = 0 Solving -2 + 3a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3a + 2 + 4b = 0 + 2 Reorder the terms: -2 + 2 + 3a + 4b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3a + 4b = 0 + 2 3a + 4b = 0 + 2 Combine like terms: 0 + 2 = 2 3a + 4b = 2 Add '-4b' to each side of the equation. 3a + 4b + -4b = 2 + -4b Combine like terms: 4b + -4b = 0 3a + 0 = 2 + -4b 3a = 2 + -4b Divide each side by '3'. a = 0.6666666667 + -1.333333333b Simplifying a = 0.6666666667 + -1.333333333bSolution
a = {0.6666666667 + -1.333333333b}
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