-32b^2+32b+42=0

Solution for -32b^2+32b+42=0 equation:

Simplifying
-32b2 + 32b + 42 = 0

Reorder the terms:
42 + 32b + -32b2 = 0

Solving
42 + 32b + -32b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + 16b + -16b2) = 0

Factor a trinomial.
2((7 + -4b)(3 + 4b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(7 + -4b)' equal to zero and attempt to solve:

Simplifying
7 + -4b = 0

Solving
7 + -4b = 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 + -4b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4b = 0 + -7
-4b = 0 + -7

Combine like terms: 0 + -7 = -7
-4b = -7

Divide each side by '-4'.
b = 1.75

Simplifying
b = 1.75
Subproblem 2
Set the factor '(3 + 4b)' equal to zero and attempt to solve:

Simplifying
3 + 4b = 0

Solving
3 + 4b = 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 + 4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4b = 0 + -3
4b = 0 + -3

Combine like terms: 0 + -3 = -3
4b = -3

Divide each side by '4'.
b = -0.75

Simplifying
b = -0.75
Solution
b = {1.75, -0.75}