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Simplifying 100a2 + 20a + 1 = 0 Reorder the terms: 1 + 20a + 100a2 = 0 Solving 1 + 20a + 100a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + 10a)(1 + 10a) = 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 '(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 = {-0.1, -0.1}
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