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Simplifying 4a3b2c + 68a2b2c + 280ab2c = 0 Reorder the terms: 280ab2c + 68a2b2c + 4a3b2c = 0 Solving 280ab2c + 68a2b2c + 4a3b2c = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab2c'. 4ab2c(70 + 17a + a2) = 0 Factor a trinomial. 4ab2c((10 + a)(7 + a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'ab2c' equal to zero and attempt to solve: Simplifying ab2c = 0 Solving ab2c = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2c = 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 '(10 + a)' equal to zero and attempt to solve: Simplifying 10 + a = 0 Solving 10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + a = 0 + -10 a = 0 + -10 Combine like terms: 0 + -10 = -10 a = -10 Simplifying a = -10Subproblem 3
Set the factor '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7Solution
a = {-10, -7}
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