54x^2-72-[5(x^2-1)+3]=0

Solution for 54x^2-72-[5(x^2-1)+3]=0 equation:

Simplifying
54x2 + -72 + -1[5(x2 + -1) + 3] = 0

Reorder the terms:
54x2 + -72 + -1[5(-1 + x2) + 3] = 0
54x2 + -72 + -1[(-1 * 5 + x2 * 5) + 3] = 0
54x2 + -72 + -1[(-5 + 5x2) + 3] = 0

Reorder the terms:
54x2 + -72 + -1[-5 + 3 + 5x2] = 0

Combine like terms: -5 + 3 = -2
54x2 + -72 + -1[-2 + 5x2] = 0
54x2 + -72 + [-2 * -1 + 5x2 * -1] = 0
54x2 + -72 + [2 + -5x2] = 0

Reorder the terms:
-72 + 2 + 54x2 + -5x2 = 0

Combine like terms: -72 + 2 = -70
-70 + 54x2 + -5x2 = 0

Combine like terms: 54x2 + -5x2 = 49x2
-70 + 49x2 = 0

Solving
-70 + 49x2 = 0

Solving for variable 'x'.

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

Add '70' to each side of the equation.
-70 + 70 + 49x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 49x2 = 0 + 70
49x2 = 0 + 70

Combine like terms: 0 + 70 = 70
49x2 = 70

Divide each side by '49'.
x2 = 1.428571429

Simplifying
x2 = 1.428571429

Take the square root of each side:
x = {-1.19522861, 1.19522861}