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Simplifying 16a5b3 + 8a3b3 + -4a4b3 = 0 Reorder the terms: 8a3b3 + -4a4b3 + 16a5b3 = 0 Solving 8a3b3 + -4a4b3 + 16a5b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a3b3'. 4a3b3(2 + -1a + 4a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a3b3' equal to zero and attempt to solve: Simplifying a3b3 = 0 Solving a3b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b3 = 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 '(2 + -1a + 4a2)' equal to zero and attempt to solve: Simplifying 2 + -1a + 4a2 = 0 Solving 2 + -1a + 4a2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.5 + -0.25a + a2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.25a + -0.5 + a2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.25a + a2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.25a + a2 = 0 + -0.5 -0.25a + a2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.25a + a2 = -0.5 The a term is -0.25a. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25a + 0.015625 + a2 = -0.5 + 0.015625 Reorder the terms: 0.015625 + -0.25a + a2 = -0.5 + 0.015625 Combine like terms: -0.5 + 0.015625 = -0.484375 0.015625 + -0.25a + a2 = -0.484375 Factor a perfect square on the left side: (a + -0.125)(a + -0.125) = -0.484375 Can't calculate square root of the right side. 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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