35b^2-75b-90=0

Solution for 35b^2-75b-90=0 equation:

Simplifying
35b2 + -75b + -90 = 0

Reorder the terms:
-90 + -75b + 35b2 = 0

Solving
-90 + -75b + 35b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -15b + 7b2) = 0

Factor a trinomial.
5((-6 + -7b)(3 + -1b)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -7b)' equal to zero and attempt to solve:

Simplifying
-6 + -7b = 0

Solving
-6 + -7b = 0

Move all terms containing b to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -7b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7b = 0 + 6
-7b = 0 + 6

Combine like terms: 0 + 6 = 6
-7b = 6

Divide each side by '-7'.
b = -0.8571428571

Simplifying
b = -0.8571428571
Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {-0.8571428571, 3}