5b^2+33b=56

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Solution for 5b^2+33b=56 equation:


Simplifying
5b2 + 33b = 56

Reorder the terms:
33b + 5b2 = 56

Solving
33b + 5b2 = 56

Solving for variable 'b'.

Reorder the terms:
-56 + 33b + 5b2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + 33b + 5b2 = 0

Factor a trinomial.
(-8 + -1b)(7 + -5b) = 0

Subproblem 1

Set the factor '(-8 + -1b)' equal to zero and attempt to solve: Simplifying -8 + -1b = 0 Solving -8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = 0 + 8 -1b = 0 + 8 Combine like terms: 0 + 8 = 8 -1b = 8 Divide each side by '-1'. b = -8 Simplifying b = -8

Subproblem 2

Set the factor '(7 + -5b)' equal to zero and attempt to solve: Simplifying 7 + -5b = 0 Solving 7 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5b = 0 + -7 -5b = 0 + -7 Combine like terms: 0 + -7 = -7 -5b = -7 Divide each side by '-5'. b = 1.4 Simplifying b = 1.4

Solution

b = {-8, 1.4}

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