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Simplifying 3a * 5 + -2a * 11a + 7a2 + 6(4a) = 0 Reorder the terms for easier multiplication: 3 * 5a + -2a * 11a + 7a2 + 6(4a) = 0 Multiply 3 * 5 15a + -2a * 11a + 7a2 + 6(4a) = 0 Reorder the terms for easier multiplication: 15a + -2 * 11a * a + 7a2 + 6(4a) = 0 Multiply -2 * 11 15a + -22a * a + 7a2 + 6(4a) = 0 Multiply a * a 15a + -22a2 + 7a2 + 6(4a) = 0 Remove parenthesis around (4a) 15a + -22a2 + 7a2 + 6 * 4a = 0 Multiply 6 * 4 15a + -22a2 + 7a2 + 24a = 0 Reorder the terms: 15a + 24a + -22a2 + 7a2 = 0 Combine like terms: 15a + 24a = 39a 39a + -22a2 + 7a2 = 0 Combine like terms: -22a2 + 7a2 = -15a2 39a + -15a2 = 0 Solving 39a + -15a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(13 + -5a) = 0 Ignore the factor 3.Subproblem 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 '(13 + -5a)' equal to zero and attempt to solve: Simplifying 13 + -5a = 0 Solving 13 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5a = 0 + -13 -5a = 0 + -13 Combine like terms: 0 + -13 = -13 -5a = -13 Divide each side by '-5'. a = 2.6 Simplifying a = 2.6Solution
a = {0, 2.6}
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