5b^2-22b-15=0

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Solution for 5b^2-22b-15=0 equation:


Simplifying
5b2 + -22b + -15 = 0

Reorder the terms:
-15 + -22b + 5b2 = 0

Solving
-15 + -22b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -5b)(5 + -1b) = 0

Subproblem 1

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

Subproblem 2

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

Solution

b = {-0.6, 5}

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