(5b-8)(5b+3)=25b^2-25b-24

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Solution for (5b-8)(5b+3)=25b^2-25b-24 equation: 


Simplifying
(5b + -8)(5b + 3) = 25b2 + -25b + -24

Reorder the terms:
(-8 + 5b)(5b + 3) = 25b2 + -25b + -24

Reorder the terms:
(-8 + 5b)(3 + 5b) = 25b2 + -25b + -24

Multiply (-8 + 5b) * (3 + 5b)
(-8(3 + 5b) + 5b * (3 + 5b)) = 25b2 + -25b + -24
((3 * -8 + 5b * -8) + 5b * (3 + 5b)) = 25b2 + -25b + -24
((-24 + -40b) + 5b * (3 + 5b)) = 25b2 + -25b + -24
(-24 + -40b + (3 * 5b + 5b * 5b)) = 25b2 + -25b + -24
(-24 + -40b + (15b + 25b2)) = 25b2 + -25b + -24

Combine like terms: -40b + 15b = -25b
(-24 + -25b + 25b2) = 25b2 + -25b + -24

Reorder the terms:
-24 + -25b + 25b2 = -24 + -25b + 25b2

Add '24' to each side of the equation.
-24 + -25b + 24 + 25b2 = -24 + -25b + 24 + 25b2

Reorder the terms:
-24 + 24 + -25b + 25b2 = -24 + -25b + 24 + 25b2

Combine like terms: -24 + 24 = 0
0 + -25b + 25b2 = -24 + -25b + 24 + 25b2
-25b + 25b2 = -24 + -25b + 24 + 25b2

Reorder the terms:
-25b + 25b2 = -24 + 24 + -25b + 25b2

Combine like terms: -24 + 24 = 0
-25b + 25b2 = 0 + -25b + 25b2
-25b + 25b2 = -25b + 25b2

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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