54x^2-72-[5(x^2-1)]=0

Solution for 54x^2-72-[5(x^2-1)]=0 equation:

Simplifying
54x2 + -72 + -1[5(x2 + -1)] = 0

Reorder the terms:
54x2 + -72 + -1[5(-1 + x2)] = 0
54x2 + -72 + -1[(-1 * 5 + x2 * 5)] = 0
54x2 + -72 + -1[(-5 + 5x2)] = 0
54x2 + -72 + [-5 * -1 + 5x2 * -1] = 0
54x2 + -72 + [5 + -5x2] = 0

Reorder the terms:
-72 + 5 + 54x2 + -5x2 = 0

Combine like terms: -72 + 5 = -67
-67 + 54x2 + -5x2 = 0

Combine like terms: 54x2 + -5x2 = 49x2
-67 + 49x2 = 0

Solving
-67 + 49x2 = 0

Solving for variable 'x'.

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

Add '67' to each side of the equation.
-67 + 67 + 49x2 = 0 + 67

Combine like terms: -67 + 67 = 0
0 + 49x2 = 0 + 67
49x2 = 0 + 67

Combine like terms: 0 + 67 = 67
49x2 = 67

Divide each side by '49'.
x2 = 1.367346939

Simplifying
x2 = 1.367346939

Take the square root of each side:
x = {-1.16933611, 1.16933611}