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Simplifying 18a * 18a + 10a = -11a + 4 Reorder the terms for easier multiplication: 18 * 18a * a + 10a = -11a + 4 Multiply 18 * 18 324a * a + 10a = -11a + 4 Multiply a * a 324a2 + 10a = -11a + 4 Reorder the terms: 10a + 324a2 = -11a + 4 Reorder the terms: 10a + 324a2 = 4 + -11a Solving 10a + 324a2 = 4 + -11a Solving for variable 'a'. Reorder the terms: -4 + 10a + 11a + 324a2 = 4 + -11a + -4 + 11a Combine like terms: 10a + 11a = 21a -4 + 21a + 324a2 = 4 + -11a + -4 + 11a Reorder the terms: -4 + 21a + 324a2 = 4 + -4 + -11a + 11a Combine like terms: 4 + -4 = 0 -4 + 21a + 324a2 = 0 + -11a + 11a -4 + 21a + 324a2 = -11a + 11a Combine like terms: -11a + 11a = 0 -4 + 21a + 324a2 = 0 Factor a trinomial. (-4 + -27a)(1 + -12a) = 0Subproblem 1
Set the factor '(-4 + -27a)' equal to zero and attempt to solve: Simplifying -4 + -27a = 0 Solving -4 + -27a = 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 + -27a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -27a = 0 + 4 -27a = 0 + 4 Combine like terms: 0 + 4 = 4 -27a = 4 Divide each side by '-27'. a = -0.1481481481 Simplifying a = -0.1481481481Subproblem 2
Set the factor '(1 + -12a)' equal to zero and attempt to solve: Simplifying 1 + -12a = 0 Solving 1 + -12a = 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 + -12a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12a = 0 + -1 -12a = 0 + -1 Combine like terms: 0 + -1 = -1 -12a = -1 Divide each side by '-12'. a = 0.08333333333 Simplifying a = 0.08333333333Solution
a = {-0.1481481481, 0.08333333333}
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