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Simplifying 15a2c + -10ac2 + 5ac = 0 Reorder the terms: 5ac + -10ac2 + 15a2c = 0 Solving 5ac + -10ac2 + 15a2c = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ac'. 5ac(1 + -2c + 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 '(1 + -2c + 3a)' equal to zero and attempt to solve: Simplifying 1 + -2c + 3a = 0 Reorder the terms: 1 + 3a + -2c = 0 Solving 1 + 3a + -2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3a + -1 + -2c = 0 + -1 Reorder the terms: 1 + -1 + 3a + -2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a + -2c = 0 + -1 3a + -2c = 0 + -1 Combine like terms: 0 + -1 = -1 3a + -2c = -1 Add '2c' to each side of the equation. 3a + -2c + 2c = -1 + 2c Combine like terms: -2c + 2c = 0 3a + 0 = -1 + 2c 3a = -1 + 2c Divide each side by '3'. a = -0.3333333333 + 0.6666666667c Simplifying a = -0.3333333333 + 0.6666666667cSolution
a = {-0.3333333333 + 0.6666666667c}
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