4b^2-b=18

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Solution for 4b^2-b=18 equation:


Simplifying
4b2 + -1b = 18

Reorder the terms:
-1b + 4b2 = 18

Solving
-1b + 4b2 = 18

Solving for variable 'b'.

Reorder the terms:
-18 + -1b + 4b2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -1b + 4b2 = 0

Factor a trinomial.
(-2 + -1b)(9 + -4b) = 0

Subproblem 1

Set the factor '(-2 + -1b)' equal to zero and attempt to solve: Simplifying -2 + -1b = 0 Solving -2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1b = 0 + 2 -1b = 0 + 2 Combine like terms: 0 + 2 = 2 -1b = 2 Divide each side by '-1'. b = -2 Simplifying b = -2

Subproblem 2

Set the factor '(9 + -4b)' equal to zero and attempt to solve: Simplifying 9 + -4b = 0 Solving 9 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4b = 0 + -9 -4b = 0 + -9 Combine like terms: 0 + -9 = -9 -4b = -9 Divide each side by '-4'. b = 2.25 Simplifying b = 2.25

Solution

b = {-2, 2.25}

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