4(3x^2-8)-[3(5x^2-1)+8]=

Solution for 4(3x^2-8)-[3(5x^2-1)+8]= equation:

Simplifying
4(3x2 + -8) + -1[3(5x2 + -1) + 8] = 0

Reorder the terms:
4(-8 + 3x2) + -1[3(5x2 + -1) + 8] = 0
(-8 * 4 + 3x2 * 4) + -1[3(5x2 + -1) + 8] = 0
(-32 + 12x2) + -1[3(5x2 + -1) + 8] = 0

Reorder the terms:
-32 + 12x2 + -1[3(-1 + 5x2) + 8] = 0
-32 + 12x2 + -1[(-1 * 3 + 5x2 * 3) + 8] = 0
-32 + 12x2 + -1[(-3 + 15x2) + 8] = 0

Reorder the terms:
-32 + 12x2 + -1[-3 + 8 + 15x2] = 0

Combine like terms: -3 + 8 = 5
-32 + 12x2 + -1[5 + 15x2] = 0
-32 + 12x2 + [5 * -1 + 15x2 * -1] = 0
-32 + 12x2 + [-5 + -15x2] = 0

Reorder the terms:
-32 + -5 + 12x2 + -15x2 = 0

Combine like terms: -32 + -5 = -37
-37 + 12x2 + -15x2 = 0

Combine like terms: 12x2 + -15x2 = -3x2
-37 + -3x2 = 0

Solving
-37 + -3x2 = 0

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + -3x2 = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -3x2 = 0 + 37
-3x2 = 0 + 37

Combine like terms: 0 + 37 = 37
-3x2 = 37

Divide each side by '-3'.
x2 = -12.33333333

Simplifying
x2 = -12.33333333

Reorder the terms:
12.33333333 + x2 = -12.33333333 + 12.33333333

Combine like terms: -12.33333333 + 12.33333333 = 0.00000000
12.33333333 + x2 = 0.00000000

The solution to this equation could not be determined.