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Simplifying -8ac2(3c3 + 5a4 + -2) = 0 Reorder the terms: -8ac2(-2 + 5a4 + 3c3) = 0 (-2 * -8ac2 + 5a4 * -8ac2 + 3c3 * -8ac2) = 0 Reorder the terms: (16ac2 + -24ac5 + -40a5c2) = 0 (16ac2 + -24ac5 + -40a5c2) = 0 Solving 16ac2 + -24ac5 + -40a5c2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8ac2'. 8ac2(2 + -3c3 + -5a4) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'ac2' equal to zero and attempt to solve: Simplifying ac2 = 0 Solving ac2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ac2 = 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 + -3c3 + -5a4)' equal to zero and attempt to solve: Simplifying 2 + -3c3 + -5a4 = 0 Reorder the terms: 2 + -5a4 + -3c3 = 0 Solving 2 + -5a4 + -3c3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -5a4 + -2 + -3c3 = 0 + -2 Reorder the terms: 2 + -2 + -5a4 + -3c3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5a4 + -3c3 = 0 + -2 -5a4 + -3c3 = 0 + -2 Combine like terms: 0 + -2 = -2 -5a4 + -3c3 = -2 Add '3c3' to each side of the equation. -5a4 + -3c3 + 3c3 = -2 + 3c3 Combine like terms: -3c3 + 3c3 = 0 -5a4 + 0 = -2 + 3c3 -5a4 = -2 + 3c3 Divide each side by '-5'. a4 = 0.4 + -0.6c3 Simplifying a4 = 0.4 + -0.6c3 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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