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

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


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

Multiply (5a + 2b) * (5a + -2b)
(5a * (5a + -2b) + 2b * (5a + -2b)) = 0
((5a * 5a + -2b * 5a) + 2b * (5a + -2b)) = 0

Reorder the terms:
((-10ab + 25a2) + 2b * (5a + -2b)) = 0
((-10ab + 25a2) + 2b * (5a + -2b)) = 0
(-10ab + 25a2 + (5a * 2b + -2b * 2b)) = 0
(-10ab + 25a2 + (10ab + -4b2)) = 0

Reorder the terms:
(-10ab + 10ab + 25a2 + -4b2) = 0

Combine like terms: -10ab + 10ab = 0
(0 + 25a2 + -4b2) = 0
(25a2 + -4b2) = 0

Solving
25a2 + -4b2 = 0

Solving for variable 'a'.

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

Add '4b2' to each side of the equation.
25a2 + -4b2 + 4b2 = 0 + 4b2

Combine like terms: -4b2 + 4b2 = 0
25a2 + 0 = 0 + 4b2
25a2 = 0 + 4b2
Remove the zero:
25a2 = 4b2

Divide each side by '25'.
a2 = 0.16b2

Simplifying
a2 = 0.16b2

Take the square root of each side:
a = {-0.4b, 0.4b}

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