3b^2-b-140=0

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Solution for 3b^2-b-140=0 equation:


Simplifying
3b2 + -1b + -140 = 0

Reorder the terms:
-140 + -1b + 3b2 = 0

Solving
-140 + -1b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-20 + -3b)(7 + -1b) = 0

Subproblem 1

Set the factor '(-20 + -3b)' equal to zero and attempt to solve: Simplifying -20 + -3b = 0 Solving -20 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3b = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3b = 0 + 20 -3b = 0 + 20 Combine like terms: 0 + 20 = 20 -3b = 20 Divide each side by '-3'. b = -6.666666667 Simplifying b = -6.666666667

Subproblem 2

Set the factor '(7 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 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 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7

Solution

b = {-6.666666667, 7}

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