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Simplifying 14a2 + 9 = 63a + 9 Reorder the terms: 9 + 14a2 = 63a + 9 Reorder the terms: 9 + 14a2 = 9 + 63a Add '-9' to each side of the equation. 9 + -9 + 14a2 = 9 + -9 + 63a Combine like terms: 9 + -9 = 0 0 + 14a2 = 9 + -9 + 63a 14a2 = 9 + -9 + 63a Combine like terms: 9 + -9 = 0 14a2 = 0 + 63a 14a2 = 63a Solving 14a2 = 63a Solving for variable 'a'. Reorder the terms: -63a + 14a2 = 63a + -63a Combine like terms: 63a + -63a = 0 -63a + 14a2 = 0 Factor out the Greatest Common Factor (GCF), '7a'. 7a(-9 + 2a) = 0 Ignore the factor 7.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 '(-9 + 2a)' equal to zero and attempt to solve: Simplifying -9 + 2a = 0 Solving -9 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2a = 0 + 9 2a = 0 + 9 Combine like terms: 0 + 9 = 9 2a = 9 Divide each side by '2'. a = 4.5 Simplifying a = 4.5Solution
a = {0, 4.5}
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