6b(8b+8)+b(2b+3)=

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Solution for 6b(8b+8)+b(2b+3)= equation:


Simplifying
6b(8b + 8) + b(2b + 3) = 0

Reorder the terms:
6b(8 + 8b) + b(2b + 3) = 0
(8 * 6b + 8b * 6b) + b(2b + 3) = 0
(48b + 48b2) + b(2b + 3) = 0

Reorder the terms:
48b + 48b2 + b(3 + 2b) = 0
48b + 48b2 + (3 * b + 2b * b) = 0
48b + 48b2 + (3b + 2b2) = 0

Reorder the terms:
48b + 3b + 48b2 + 2b2 = 0

Combine like terms: 48b + 3b = 51b
51b + 48b2 + 2b2 = 0

Combine like terms: 48b2 + 2b2 = 50b2
51b + 50b2 = 0

Solving
51b + 50b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(51 + 50b) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

Set the factor '(51 + 50b)' equal to zero and attempt to solve: Simplifying 51 + 50b = 0 Solving 51 + 50b = 0 Move all terms containing b to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 50b = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 50b = 0 + -51 50b = 0 + -51 Combine like terms: 0 + -51 = -51 50b = -51 Divide each side by '50'. b = -1.02 Simplifying b = -1.02

Solution

b = {0, -1.02}

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