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Simplifying 10a2 + -50a + -1a + 5 = 0 Reorder the terms: 5 + -50a + -1a + 10a2 = 0 Combine like terms: -50a + -1a = -51a 5 + -51a + 10a2 = 0 Solving 5 + -51a + 10a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + -10a)(5 + -1a) = 0Subproblem 1
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 = 0.1Subproblem 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 = {0.1, 5}
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