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Simplifying 5a2 + 34a + 2 = 9 Reorder the terms: 2 + 34a + 5a2 = 9 Solving 2 + 34a + 5a2 = 9 Solving for variable 'a'. Reorder the terms: 2 + -9 + 34a + 5a2 = 9 + -9 Combine like terms: 2 + -9 = -7 -7 + 34a + 5a2 = 9 + -9 Combine like terms: 9 + -9 = 0 -7 + 34a + 5a2 = 0 Factor a trinomial. (-7 + -1a)(1 + -5a) = 0Subproblem 1
Set the factor '(-7 + -1a)' equal to zero and attempt to solve: Simplifying -7 + -1a = 0 Solving -7 + -1a = 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 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7Subproblem 2
Set the factor '(1 + -5a)' equal to zero and attempt to solve: Simplifying 1 + -5a = 0 Solving 1 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5a = 0 + -1 -5a = 0 + -1 Combine like terms: 0 + -1 = -1 -5a = -1 Divide each side by '-5'. a = 0.2 Simplifying a = 0.2Solution
a = {-7, 0.2}
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