(5b-1)(6b+3)=

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Solution for (5b-1)(6b+3)= equation:


Simplifying
(5b + -1)(6b + 3) = 0

Reorder the terms:
(-1 + 5b)(6b + 3) = 0

Reorder the terms:
(-1 + 5b)(3 + 6b) = 0

Multiply (-1 + 5b) * (3 + 6b)
(-1(3 + 6b) + 5b * (3 + 6b)) = 0
((3 * -1 + 6b * -1) + 5b * (3 + 6b)) = 0
((-3 + -6b) + 5b * (3 + 6b)) = 0
(-3 + -6b + (3 * 5b + 6b * 5b)) = 0
(-3 + -6b + (15b + 30b2)) = 0

Combine like terms: -6b + 15b = 9b
(-3 + 9b + 30b2) = 0

Solving
-3 + 9b + 30b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 3b + 10b2) = 0

Factor a trinomial.
3((-1 + -2b)(1 + -5b)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -2b)' equal to zero and attempt to solve: Simplifying -1 + -2b = 0 Solving -1 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2b = 0 + 1 -2b = 0 + 1 Combine like terms: 0 + 1 = 1 -2b = 1 Divide each side by '-2'. b = -0.5 Simplifying b = -0.5

Subproblem 2

Set the factor '(1 + -5b)' equal to zero and attempt to solve: Simplifying 1 + -5b = 0 Solving 1 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5b = 0 + -1 -5b = 0 + -1 Combine like terms: 0 + -1 = -1 -5b = -1 Divide each side by '-5'. b = 0.2 Simplifying b = 0.2

Solution

b = {-0.5, 0.2}

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