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Simplifying -5ac5(2c6 + -6a4 + 4) = 0 Reorder the terms: -5ac5(4 + -6a4 + 2c6) = 0 (4 * -5ac5 + -6a4 * -5ac5 + 2c6 * -5ac5) = 0 Reorder the terms: (-20ac5 + -10ac11 + 30a5c5) = 0 (-20ac5 + -10ac11 + 30a5c5) = 0 Solving -20ac5 + -10ac11 + 30a5c5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10ac5'. 10ac5(-2 + -1c6 + 3a4) = 0 Factor a trinomial. 10ac5((-1c3 + -3a2)(c3 + -1a2)) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'ac5' equal to zero and attempt to solve: Simplifying ac5 = 0 Solving ac5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ac5 = 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 '(-1c3 + -3a2)' equal to zero and attempt to solve: Simplifying -1c3 + -3a2 = 0 Reorder the terms: -3a2 + -1c3 = 0 Solving -3a2 + -1c3 = 0 Move all terms containing a to the left, all other terms to the right. Add 'c3' to each side of the equation. -3a2 + -1c3 + c3 = 0 + c3 Combine like terms: -1c3 + c3 = 0 -3a2 + 0 = 0 + c3 -3a2 = 0 + c3 Remove the zero: -3a2 = c3 Divide each side by '-3'. a2 = -0.3333333333c3 Simplifying a2 = -0.3333333333c3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(c3 + -1a2)' equal to zero and attempt to solve: Simplifying c3 + -1a2 = 0 Reorder the terms: -1a2 + c3 = 0 Solving -1a2 + c3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c3' to each side of the equation. -1a2 + c3 + -1c3 = 0 + -1c3 Combine like terms: c3 + -1c3 = 0 -1a2 + 0 = 0 + -1c3 -1a2 = 0 + -1c3 Remove the zero: -1a2 = -1c3 Divide each side by '-1'. a2 = c3 Simplifying a2 = c3 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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