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Simplifying 5a2 + -21a + -14 = 6 Reorder the terms: -14 + -21a + 5a2 = 6 Solving -14 + -21a + 5a2 = 6 Solving for variable 'a'. Reorder the terms: -14 + -6 + -21a + 5a2 = 6 + -6 Combine like terms: -14 + -6 = -20 -20 + -21a + 5a2 = 6 + -6 Combine like terms: 6 + -6 = 0 -20 + -21a + 5a2 = 0 Factor a trinomial. (-4 + -5a)(5 + -1a) = 0Subproblem 1
Set the factor '(-4 + -5a)' equal to zero and attempt to solve: Simplifying -4 + -5a = 0 Solving -4 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5a = 0 + 4 -5a = 0 + 4 Combine like terms: 0 + 4 = 4 -5a = 4 Divide each side by '-5'. a = -0.8 Simplifying a = -0.8Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5Solution
a = {-0.8, 5}
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