54x^2-63-[3(x^2-1)+5]=

Solution for 54x^2-63-[3(x^2-1)+5]= equation:

Simplifying
54x2 + -63 + -1[3(x2 + -1) + 5] = 0

Reorder the terms:
54x2 + -63 + -1[3(-1 + x2) + 5] = 0
54x2 + -63 + -1[(-1 * 3 + x2 * 3) + 5] = 0
54x2 + -63 + -1[(-3 + 3x2) + 5] = 0

Reorder the terms:
54x2 + -63 + -1[-3 + 5 + 3x2] = 0

Combine like terms: -3 + 5 = 2
54x2 + -63 + -1[2 + 3x2] = 0
54x2 + -63 + [2 * -1 + 3x2 * -1] = 0
54x2 + -63 + [-2 + -3x2] = 0

Reorder the terms:
-63 + -2 + 54x2 + -3x2 = 0

Combine like terms: -63 + -2 = -65
-65 + 54x2 + -3x2 = 0

Combine like terms: 54x2 + -3x2 = 51x2
-65 + 51x2 = 0

Solving
-65 + 51x2 = 0

Solving for variable 'x'.

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

Add '65' to each side of the equation.
-65 + 65 + 51x2 = 0 + 65

Combine like terms: -65 + 65 = 0
0 + 51x2 = 0 + 65
51x2 = 0 + 65

Combine like terms: 0 + 65 = 65
51x2 = 65

Divide each side by '51'.
x2 = 1.274509804

Simplifying
x2 = 1.274509804

Take the square root of each side:
x = {-1.128941896, 1.128941896}