2(3N-5)(3N+5)=

Solution for 2(3N-5)(3N+5)= equation:

Simplifying
2(3N + -5)(3N + 5) = 0

Reorder the terms:
2(-5 + 3N)(3N + 5) = 0

Reorder the terms:
2(-5 + 3N)(5 + 3N) = 0

Multiply (-5 + 3N) * (5 + 3N)
2(-5(5 + 3N) + 3N * (5 + 3N)) = 0
2((5 * -5 + 3N * -5) + 3N * (5 + 3N)) = 0
2((-25 + -15N) + 3N * (5 + 3N)) = 0
2(-25 + -15N + (5 * 3N + 3N * 3N)) = 0
2(-25 + -15N + (15N + 9N2)) = 0

Combine like terms: -15N + 15N = 0
2(-25 + 0 + 9N2) = 0
2(-25 + 9N2) = 0
(-25 * 2 + 9N2 * 2) = 0
(-50 + 18N2) = 0

Solving
-50 + 18N2 = 0

Solving for variable 'N'.

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

Add '50' to each side of the equation.
-50 + 50 + 18N2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 18N2 = 0 + 50
18N2 = 0 + 50

Combine like terms: 0 + 50 = 50
18N2 = 50

Divide each side by '18'.
N2 = 2.777777778

Simplifying
N2 = 2.777777778

Take the square root of each side:
N = {-1.666666667, 1.666666667}