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Simplifying -7a(4a) + -6a(5) = 0 Remove parenthesis around (4a) -7a * 4a + -6a(5) = 0 Reorder the terms for easier multiplication: -7 * 4a * a + -6a(5) = 0 Multiply -7 * 4 -28a * a + -6a(5) = 0 Multiply a * a -28a2 + -6a(5) = 0 Reorder the terms for easier multiplication: -28a2 + -6 * 5a = 0 Multiply -6 * 5 -28a2 + -30a = 0 Reorder the terms: -30a + -28a2 = 0 Solving -30a + -28a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-2a'. -2a(15 + 14a) = 0 Ignore the factor -2.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 '(15 + 14a)' equal to zero and attempt to solve: Simplifying 15 + 14a = 0 Solving 15 + 14a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 14a = 0 + -15 14a = 0 + -15 Combine like terms: 0 + -15 = -15 14a = -15 Divide each side by '14'. a = -1.071428571 Simplifying a = -1.071428571Solution
a = {0, -1.071428571}
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