56a^2-116a-60=0

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Solution for 56a^2-116a-60=0 equation:


Simplifying
56a2 + -116a + -60 = 0

Reorder the terms:
-60 + -116a + 56a2 = 0

Solving
-60 + -116a + 56a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -29a + 14a2) = 0

Factor a trinomial.
4((-3 + -7a)(5 + -2a)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + -7a)' equal to zero and attempt to solve: Simplifying -3 + -7a = 0 Solving -3 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7a = 0 + 3 -7a = 0 + 3 Combine like terms: 0 + 3 = 3 -7a = 3 Divide each side by '-7'. a = -0.4285714286 Simplifying a = -0.4285714286

Subproblem 2

Set the factor '(5 + -2a)' equal to zero and attempt to solve: Simplifying 5 + -2a = 0 Solving 5 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 0 + -5 -2a = 0 + -5 Combine like terms: 0 + -5 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5

Solution

a = {-0.4285714286, 2.5}

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