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Simplifying 10a2 + 33a + -54 = 0 Reorder the terms: -54 + 33a + 10a2 = 0 Solving -54 + 33a + 10a2 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -2a)(6 + -5a) = 0Subproblem 1
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 = -4.5Subproblem 2
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 = 1.2Solution
a = {-4.5, 1.2}
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