=(b-8)(5b-2)

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Solution for =(b-8)(5b-2) equation:


Simplifying
0 = (b + -8)(5b + -2)

Reorder the terms:
0 = (-8 + b)(5b + -2)

Reorder the terms:
0 = (-8 + b)(-2 + 5b)

Multiply (-8 + b) * (-2 + 5b)
0 = (-8(-2 + 5b) + b(-2 + 5b))
0 = ((-2 * -8 + 5b * -8) + b(-2 + 5b))
0 = ((16 + -40b) + b(-2 + 5b))
0 = (16 + -40b + (-2 * b + 5b * b))
0 = (16 + -40b + (-2b + 5b2))

Combine like terms: -40b + -2b = -42b
0 = (16 + -42b + 5b2)

Solving
0 = 16 + -42b + 5b2

Solving for variable 'b'.

Combine like terms: 0 + -16 = -16
-16 + 42b + -5b2 = 16 + -42b + 5b2 + -16 + 42b + -5b2

Reorder the terms:
-16 + 42b + -5b2 = 16 + -16 + -42b + 42b + 5b2 + -5b2

Combine like terms: 16 + -16 = 0
-16 + 42b + -5b2 = 0 + -42b + 42b + 5b2 + -5b2
-16 + 42b + -5b2 = -42b + 42b + 5b2 + -5b2

Combine like terms: -42b + 42b = 0
-16 + 42b + -5b2 = 0 + 5b2 + -5b2
-16 + 42b + -5b2 = 5b2 + -5b2

Combine like terms: 5b2 + -5b2 = 0
-16 + 42b + -5b2 = 0

Factor a trinomial.
(-8 + b)(2 + -5b) = 0


Subproblem 1
Set the factor '(-8 + b)' equal to zero and attempt to solve:

Simplifying
-8 + b = 0

Solving
-8 + b = 0

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

Add '8' to each side of the equation.
-8 + 8 + b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + b = 0 + 8
b = 0 + 8

Combine like terms: 0 + 8 = 8
b = 8

Simplifying
b = 8

Subproblem 2
Set the factor '(2 + -5b)' equal to zero and attempt to solve:

Simplifying
2 + -5b = 0

Solving
2 + -5b = 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 + -5b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5b = 0 + -2
-5b = 0 + -2

Combine like terms: 0 + -2 = -2
-5b = -2

Divide each side by '-5'.
b = 0.4

Simplifying
b = 0.4
Solution
b = {8, 0.4}

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