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Simplifying 42a2 + 95a + -25 = 0 Reorder the terms: -25 + 95a + 42a2 = 0 Solving -25 + 95a + 42a2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -2a)(5 + -21a) = 0Subproblem 1
Set the factor '(-5 + -2a)' equal to zero and attempt to solve: Simplifying -5 + -2a = 0 Solving -5 + -2a = 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 + -2a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2a = 0 + 5 -2a = 0 + 5 Combine like terms: 0 + 5 = 5 -2a = 5 Divide each side by '-2'. a = -2.5 Simplifying a = -2.5Subproblem 2
Set the factor '(5 + -21a)' equal to zero and attempt to solve: Simplifying 5 + -21a = 0 Solving 5 + -21a = 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 + -21a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -21a = 0 + -5 -21a = 0 + -5 Combine like terms: 0 + -5 = -5 -21a = -5 Divide each side by '-21'. a = 0.2380952381 Simplifying a = 0.2380952381Solution
a = {-2.5, 0.2380952381}
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