(5d-6)(5d+6)=0

Solution for (5d-6)(5d+6)=0 equation:

Simplifying
(5d + -6)(5d + 6) = 0

Reorder the terms:
(-6 + 5d)(5d + 6) = 0

Reorder the terms:
(-6 + 5d)(6 + 5d) = 0

Multiply (-6 + 5d) * (6 + 5d)
(-6(6 + 5d) + 5d * (6 + 5d)) = 0
((6 * -6 + 5d * -6) + 5d * (6 + 5d)) = 0
((-36 + -30d) + 5d * (6 + 5d)) = 0
(-36 + -30d + (6 * 5d + 5d * 5d)) = 0
(-36 + -30d + (30d + 25d2)) = 0

Combine like terms: -30d + 30d = 0
(-36 + 0 + 25d2) = 0
(-36 + 25d2) = 0

Solving
-36 + 25d2 = 0

Solving for variable 'd'.

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

Add '36' to each side of the equation.
-36 + 36 + 25d2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 25d2 = 0 + 36
25d2 = 0 + 36

Combine like terms: 0 + 36 = 36
25d2 = 36

Divide each side by '25'.
d2 = 1.44

Simplifying
d2 = 1.44

Take the square root of each side:
d = {-1.2, 1.2}