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Simplifying 2a(-5 + 6a) + -6a(-5a + 7) = 0 (-5 * 2a + 6a * 2a) + -6a(-5a + 7) = 0 (-10a + 12a2) + -6a(-5a + 7) = 0 Reorder the terms: -10a + 12a2 + -6a(7 + -5a) = 0 -10a + 12a2 + (7 * -6a + -5a * -6a) = 0 -10a + 12a2 + (-42a + 30a2) = 0 Reorder the terms: -10a + -42a + 12a2 + 30a2 = 0 Combine like terms: -10a + -42a = -52a -52a + 12a2 + 30a2 = 0 Combine like terms: 12a2 + 30a2 = 42a2 -52a + 42a2 = 0 Solving -52a + 42a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-26 + 21a) = 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 '(-26 + 21a)' equal to zero and attempt to solve: Simplifying -26 + 21a = 0 Solving -26 + 21a = 0 Move all terms containing a to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 21a = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 21a = 0 + 26 21a = 0 + 26 Combine like terms: 0 + 26 = 26 21a = 26 Divide each side by '21'. a = 1.238095238 Simplifying a = 1.238095238Solution
a = {0, 1.238095238}
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