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Simplifying 5a2 + -6a + -30a + 36 = 0 Reorder the terms: 36 + -6a + -30a + 5a2 = 0 Combine like terms: -6a + -30a = -36a 36 + -36a + 5a2 = 0 Solving 36 + -36a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (6 + -5a)(6 + -1a) = 0Subproblem 1
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 = 1.2Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve: Simplifying 6 + -1a = 0 Solving 6 + -1a = 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 + -1a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 0 + -6 -1a = 0 + -6 Combine like terms: 0 + -6 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6Solution
a = {1.2, 6}
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