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

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

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

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

Reorder the terms:
((-10ad + 25a2) + 2d * (5a + -2d)) = 0
((-10ad + 25a2) + 2d * (5a + -2d)) = 0
(-10ad + 25a2 + (5a * 2d + -2d * 2d)) = 0
(-10ad + 25a2 + (10ad + -4d2)) = 0

Reorder the terms:
(-10ad + 10ad + 25a2 + -4d2) = 0

Combine like terms: -10ad + 10ad = 0
(0 + 25a2 + -4d2) = 0
(25a2 + -4d2) = 0

Solving
25a2 + -4d2 = 0

Solving for variable 'a'.

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

Add '4d2' to each side of the equation.
25a2 + -4d2 + 4d2 = 0 + 4d2

Combine like terms: -4d2 + 4d2 = 0
25a2 + 0 = 0 + 4d2
25a2 = 0 + 4d2
Remove the zero:
25a2 = 4d2

Divide each side by '25'.
a2 = 0.16d2

Simplifying
a2 = 0.16d2

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