80a^2+52a-60=0

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Solution for 80a^2+52a-60=0 equation:


Simplifying
80a2 + 52a + -60 = 0

Reorder the terms:
-60 + 52a + 80a2 = 0

Solving
-60 + 52a + 80a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + 13a + 20a2) = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(-5 + -4a)' equal to zero and attempt to solve: Simplifying -5 + -4a = 0 Solving -5 + -4a = 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 + -4a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4a = 0 + 5 -4a = 0 + 5 Combine like terms: 0 + 5 = 5 -4a = 5 Divide each side by '-4'. a = -1.25 Simplifying a = -1.25

Subproblem 2

Set the factor '(3 + -5a)' equal to zero and attempt to solve: Simplifying 3 + -5a = 0 Solving 3 + -5a = 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 + -5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 0 + -3 -5a = 0 + -3 Combine like terms: 0 + -3 = -3 -5a = -3 Divide each side by '-5'. a = 0.6 Simplifying a = 0.6

Solution

a = {-1.25, 0.6}

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