5q^2+13q-60=0

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Solution for 5q^2+13q-60=0 equation:


Simplifying
5q2 + 13q + -60 = 0

Reorder the terms:
-60 + 13q + 5q2 = 0

Solving
-60 + 13q + 5q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-5 + -1q)(12 + -5q) = 0

Subproblem 1

Set the factor '(-5 + -1q)' equal to zero and attempt to solve: Simplifying -5 + -1q = 0 Solving -5 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1q = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1q = 0 + 5 -1q = 0 + 5 Combine like terms: 0 + 5 = 5 -1q = 5 Divide each side by '-1'. q = -5 Simplifying q = -5

Subproblem 2

Set the factor '(12 + -5q)' equal to zero and attempt to solve: Simplifying 12 + -5q = 0 Solving 12 + -5q = 0 Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5q = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5q = 0 + -12 -5q = 0 + -12 Combine like terms: 0 + -12 = -12 -5q = -12 Divide each side by '-5'. q = 2.4 Simplifying q = 2.4

Solution

q = {-5, 2.4}

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