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Simplifying 18a2 + 10a = 11a + 4 Reorder the terms: 10a + 18a2 = 11a + 4 Reorder the terms: 10a + 18a2 = 4 + 11a Solving 10a + 18a2 = 4 + 11a Solving for variable 'a'. Reorder the terms: -4 + 10a + -11a + 18a2 = 4 + 11a + -4 + -11a Combine like terms: 10a + -11a = -1a -4 + -1a + 18a2 = 4 + 11a + -4 + -11a Reorder the terms: -4 + -1a + 18a2 = 4 + -4 + 11a + -11a Combine like terms: 4 + -4 = 0 -4 + -1a + 18a2 = 0 + 11a + -11a -4 + -1a + 18a2 = 11a + -11a Combine like terms: 11a + -11a = 0 -4 + -1a + 18a2 = 0 Factor a trinomial. (-4 + -9a)(1 + -2a) = 0Subproblem 1
Set the factor '(-4 + -9a)' equal to zero and attempt to solve: Simplifying -4 + -9a = 0 Solving -4 + -9a = 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 + -9a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9a = 0 + 4 -9a = 0 + 4 Combine like terms: 0 + 4 = 4 -9a = 4 Divide each side by '-9'. a = -0.4444444444 Simplifying a = -0.4444444444Subproblem 2
Set the factor '(1 + -2a)' equal to zero and attempt to solve: Simplifying 1 + -2a = 0 Solving 1 + -2a = 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 + -2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 0 + -1 -2a = 0 + -1 Combine like terms: 0 + -1 = -1 -2a = -1 Divide each side by '-2'. a = 0.5 Simplifying a = 0.5Solution
a = {-0.4444444444, 0.5}
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