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Simplifying -4a2 + -1[-4a + -1(-9a2 + 2a)] + -1[7 + (4a + -7)] = 0 Reorder the terms: -4a2 + -1[-4a + -1(2a + -9a2)] + -1[7 + (4a + -7)] = 0 -4a2 + -1[-4a + (2a * -1 + -9a2 * -1)] + -1[7 + (4a + -7)] = 0 -4a2 + -1[-4a + (-2a + 9a2)] + -1[7 + (4a + -7)] = 0 Combine like terms: -4a + -2a = -6a -4a2 + -1[-6a + 9a2] + -1[7 + (4a + -7)] = 0 -4a2 + [-6a * -1 + 9a2 * -1] + -1[7 + (4a + -7)] = 0 -4a2 + [6a + -9a2] + -1[7 + (4a + -7)] = 0 Reorder the terms: -4a2 + 6a + -9a2 + -1[7 + (-7 + 4a)] = 0 Remove parenthesis around (-7 + 4a) -4a2 + 6a + -9a2 + -1[7 + -7 + 4a] = 0 Combine like terms: 7 + -7 = 0 -4a2 + 6a + -9a2 + -1[0 + 4a] = 0 -4a2 + 6a + -9a2 + -1[4a] = 0 Remove brackets around [4a] -4a2 + 6a + -9a2 + -1 * 4a = 0 Multiply -1 * 4 -4a2 + 6a + -9a2 + -4a = 0 Reorder the terms: 6a + -4a + -4a2 + -9a2 = 0 Combine like terms: 6a + -4a = 2a 2a + -4a2 + -9a2 = 0 Combine like terms: -4a2 + -9a2 = -13a2 2a + -13a2 = 0 Solving 2a + -13a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(2 + -13a) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(2 + -13a)' equal to zero and attempt to solve: Simplifying 2 + -13a = 0 Solving 2 + -13a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -13a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -13a = 0 + -2 -13a = 0 + -2 Combine like terms: 0 + -2 = -2 -13a = -2 Divide each side by '-13'. a = 0.1538461538 Simplifying a = 0.1538461538Solution
a = {0, 0.1538461538}
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