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Simplifying 3a2 + 43a + -30 = 0 Reorder the terms: -30 + 43a + 3a2 = 0 Solving -30 + 43a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (-15 + -1a)(2 + -3a) = 0Subproblem 1
Set the factor '(-15 + -1a)' equal to zero and attempt to solve: Simplifying -15 + -1a = 0 Solving -15 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1a = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1a = 0 + 15 -1a = 0 + 15 Combine like terms: 0 + 15 = 15 -1a = 15 Divide each side by '-1'. a = -15 Simplifying a = -15Subproblem 2
Set the factor '(2 + -3a)' equal to zero and attempt to solve: Simplifying 2 + -3a = 0 Solving 2 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 0 + -2 -3a = 0 + -2 Combine like terms: 0 + -2 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667Solution
a = {-15, 0.6666666667}
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