15b^2-80=40b

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Solution for 15b^2-80=40b equation:


Simplifying
15b2 + -80 = 40b

Reorder the terms:
-80 + 15b2 = 40b

Solving
-80 + 15b2 = 40b

Solving for variable 'b'.

Reorder the terms:
-80 + -40b + 15b2 = 40b + -40b

Combine like terms: 40b + -40b = 0
-80 + -40b + 15b2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-16 + -8b + 3b2) = 0

Factor a trinomial.
5((-4 + -3b)(4 + -1b)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-4 + -3b)' equal to zero and attempt to solve: Simplifying -4 + -3b = 0 Solving -4 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3b = 0 + 4 -3b = 0 + 4 Combine like terms: 0 + 4 = 4 -3b = 4 Divide each side by '-3'. b = -1.333333333 Simplifying b = -1.333333333

Subproblem 2

Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4

Solution

b = {-1.333333333, 4}

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