(2b+5)(2b-5)=

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


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

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

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

Multiply (5 + 2b) * (-5 + 2b)
(5(-5 + 2b) + 2b * (-5 + 2b)) = 0
((-5 * 5 + 2b * 5) + 2b * (-5 + 2b)) = 0
((-25 + 10b) + 2b * (-5 + 2b)) = 0
(-25 + 10b + (-5 * 2b + 2b * 2b)) = 0
(-25 + 10b + (-10b + 4b2)) = 0

Combine like terms: 10b + -10b = 0
(-25 + 0 + 4b2) = 0
(-25 + 4b2) = 0

Solving
-25 + 4b2 = 0

Solving for variable 'b'.

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

Add '25' to each side of the equation.
-25 + 25 + 4b2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 4b2 = 0 + 25
4b2 = 0 + 25

Combine like terms: 0 + 25 = 25
4b2 = 25

Divide each side by '4'.
b2 = 6.25

Simplifying
b2 = 6.25

Take the square root of each side:
b = {-2.5, 2.5}

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