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Simplifying -4a2c6(9c3 + -2a + 5) = 0 Reorder the terms: -4a2c6(5 + -2a + 9c3) = 0 (5 * -4a2c6 + -2a * -4a2c6 + 9c3 * -4a2c6) = 0 Reorder the terms: (-20a2c6 + -36a2c9 + 8a3c6) = 0 (-20a2c6 + -36a2c9 + 8a3c6) = 0 Solving -20a2c6 + -36a2c9 + 8a3c6 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a2c6'. 4a2c6(-5 + -9c3 + 2a) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a2c6' equal to zero and attempt to solve: Simplifying a2c6 = 0 Solving a2c6 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2c6 = 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 '(-5 + -9c3 + 2a)' equal to zero and attempt to solve: Simplifying -5 + -9c3 + 2a = 0 Reorder the terms: -5 + 2a + -9c3 = 0 Solving -5 + 2a + -9c3 = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2a + 5 + -9c3 = 0 + 5 Reorder the terms: -5 + 5 + 2a + -9c3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2a + -9c3 = 0 + 5 2a + -9c3 = 0 + 5 Combine like terms: 0 + 5 = 5 2a + -9c3 = 5 Add '9c3' to each side of the equation. 2a + -9c3 + 9c3 = 5 + 9c3 Combine like terms: -9c3 + 9c3 = 0 2a + 0 = 5 + 9c3 2a = 5 + 9c3 Divide each side by '2'. a = 2.5 + 4.5c3 Simplifying a = 2.5 + 4.5c3Solution
a = {2.5 + 4.5c3}
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