(27x-49)(27x+49)=

Solution for (27x-49)(27x+49)= equation:

Simplifying
(27x + -49)(27x + 49) = 0

Reorder the terms:
(-49 + 27x)(27x + 49) = 0

Reorder the terms:
(-49 + 27x)(49 + 27x) = 0

Multiply (-49 + 27x) * (49 + 27x)
(-49(49 + 27x) + 27x * (49 + 27x)) = 0
((49 * -49 + 27x * -49) + 27x * (49 + 27x)) = 0
((-2401 + -1323x) + 27x * (49 + 27x)) = 0
(-2401 + -1323x + (49 * 27x + 27x * 27x)) = 0
(-2401 + -1323x + (1323x + 729x2)) = 0

Combine like terms: -1323x + 1323x = 0
(-2401 + 0 + 729x2) = 0
(-2401 + 729x2) = 0

Solving
-2401 + 729x2 = 0

Solving for variable 'x'.

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

Add '2401' to each side of the equation.
-2401 + 2401 + 729x2 = 0 + 2401

Combine like terms: -2401 + 2401 = 0
0 + 729x2 = 0 + 2401
729x2 = 0 + 2401

Combine like terms: 0 + 2401 = 2401
729x2 = 2401

Divide each side by '729'.
x2 = 3.293552812

Simplifying
x2 = 3.293552812

Take the square root of each side:
x = {-1.814814815, 1.814814815}