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Simplifying 40a2 + 26a + -3 = 0 Reorder the terms: -3 + 26a + 40a2 = 0 Solving -3 + 26a + 40a2 = 0 Solving for variable 'a'. Factor a trinomial. (-3 + -4a)(1 + -10a) = 0Subproblem 1
Set the factor '(-3 + -4a)' equal to zero and attempt to solve: Simplifying -3 + -4a = 0 Solving -3 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4a = 0 + 3 -4a = 0 + 3 Combine like terms: 0 + 3 = 3 -4a = 3 Divide each side by '-4'. a = -0.75 Simplifying a = -0.75Subproblem 2
Set the factor '(1 + -10a)' equal to zero and attempt to solve: Simplifying 1 + -10a = 0 Solving 1 + -10a = 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 + -10a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10a = 0 + -1 -10a = 0 + -1 Combine like terms: 0 + -1 = -1 -10a = -1 Divide each side by '-10'. a = 0.1 Simplifying a = 0.1Solution
a = {-0.75, 0.1}
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