9b^2-9b-70=0

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Solution for 9b^2-9b-70=0 equation:


Simplifying
9b2 + -9b + -70 = 0

Reorder the terms:
-70 + -9b + 9b2 = 0

Solving
-70 + -9b + 9b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-7 + -3b)(10 + -3b) = 0

Subproblem 1

Set the factor '(-7 + -3b)' equal to zero and attempt to solve: Simplifying -7 + -3b = 0 Solving -7 + -3b = 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 + -3b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3b = 0 + 7 -3b = 0 + 7 Combine like terms: 0 + 7 = 7 -3b = 7 Divide each side by '-3'. b = -2.333333333 Simplifying b = -2.333333333

Subproblem 2

Set the factor '(10 + -3b)' equal to zero and attempt to solve: Simplifying 10 + -3b = 0 Solving 10 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3b = 0 + -10 -3b = 0 + -10 Combine like terms: 0 + -10 = -10 -3b = -10 Divide each side by '-3'. b = 3.333333333 Simplifying b = 3.333333333

Solution

b = {-2.333333333, 3.333333333}

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