6b^2-2b-60=0

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Solution for 6b^2-2b-60=0 equation:


Simplifying
6b2 + -2b + -60 = 0

Reorder the terms:
-60 + -2b + 6b2 = 0

Solving
-60 + -2b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + -1b + 3b2) = 0

Factor a trinomial.
2((-3 + -1b)(10 + -3b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -1b)' equal to zero and attempt to solve: Simplifying -3 + -1b = 0 Solving -3 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1b = 0 + 3 -1b = 0 + 3 Combine like terms: 0 + 3 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3

Subproblem 2

Set the factor '(10 + -3b)' equal to zero and attempt to solve: Simplifying 10 + -3b = 0 Solving 10 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3b = 0 + -10 -3b = 0 + -10 Combine like terms: 0 + -10 = -10 -3b = -10 Divide each side by '-3'. b = 3.333333333 Simplifying b = 3.333333333

Solution

b = {-3, 3.333333333}

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