(1b-8)(5b-2)=

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Solution for (1b-8)(5b-2)= equation:


Simplifying
(1b + -8)(5b + -2) = 0

Reorder the terms:
(-8 + 1b)(5b + -2) = 0

Reorder the terms:
(-8 + 1b)(-2 + 5b) = 0

Multiply (-8 + 1b) * (-2 + 5b)
(-8(-2 + 5b) + 1b * (-2 + 5b)) = 0
((-2 * -8 + 5b * -8) + 1b * (-2 + 5b)) = 0
((16 + -40b) + 1b * (-2 + 5b)) = 0
(16 + -40b + (-2 * 1b + 5b * 1b)) = 0
(16 + -40b + (-2b + 5b2)) = 0

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

Solving
16 + -42b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2 + -5b)(8 + -1b) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 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 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8

Solution

b = {0.4, 8}

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