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Simplifying 18a2 + 87a2 + -126a = 0 Reorder the terms: -126a + 18a2 + 87a2 = 0 Combine like terms: 18a2 + 87a2 = 105a2 -126a + 105a2 = 0 Solving -126a + 105a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '21a'. 21a(-6 + 5a) = 0 Ignore the factor 21.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-6 + 5a)' equal to zero and attempt to solve: Simplifying -6 + 5a = 0 Solving -6 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5a = 0 + 6 5a = 0 + 6 Combine like terms: 0 + 6 = 6 5a = 6 Divide each side by '5'. a = 1.2 Simplifying a = 1.2Solution
a = {0, 1.2}
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