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Simplifying 35a2 + 8 = 63a + 8 Reorder the terms: 8 + 35a2 = 63a + 8 Reorder the terms: 8 + 35a2 = 8 + 63a Add '-8' to each side of the equation. 8 + -8 + 35a2 = 8 + -8 + 63a Combine like terms: 8 + -8 = 0 0 + 35a2 = 8 + -8 + 63a 35a2 = 8 + -8 + 63a Combine like terms: 8 + -8 = 0 35a2 = 0 + 63a 35a2 = 63a Solving 35a2 = 63a Solving for variable 'a'. Reorder the terms: -63a + 35a2 = 63a + -63a Combine like terms: 63a + -63a = 0 -63a + 35a2 = 0 Factor out the Greatest Common Factor (GCF), '7a'. 7a(-9 + 5a) = 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 + 5a)' equal to zero and attempt to solve: Simplifying -9 + 5a = 0 Solving -9 + 5a = 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 + 5a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5a = 0 + 9 5a = 0 + 9 Combine like terms: 0 + 9 = 9 5a = 9 Divide each side by '5'. a = 1.8 Simplifying a = 1.8Solution
a = {0, 1.8}
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