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Simplifying 30a2 + 3 = 35a + 3 Reorder the terms: 3 + 30a2 = 35a + 3 Reorder the terms: 3 + 30a2 = 3 + 35a Add '-3' to each side of the equation. 3 + -3 + 30a2 = 3 + -3 + 35a Combine like terms: 3 + -3 = 0 0 + 30a2 = 3 + -3 + 35a 30a2 = 3 + -3 + 35a Combine like terms: 3 + -3 = 0 30a2 = 0 + 35a 30a2 = 35a Solving 30a2 = 35a Solving for variable 'a'. Reorder the terms: -35a + 30a2 = 35a + -35a Combine like terms: 35a + -35a = 0 -35a + 30a2 = 0 Factor out the Greatest Common Factor (GCF), '5a'. 5a(-7 + 6a) = 0 Ignore the factor 5.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 '(-7 + 6a)' equal to zero and attempt to solve: Simplifying -7 + 6a = 0 Solving -7 + 6a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6a = 0 + 7 6a = 0 + 7 Combine like terms: 0 + 7 = 7 6a = 7 Divide each side by '6'. a = 1.166666667 Simplifying a = 1.166666667Solution
a = {0, 1.166666667}
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