(4x^3-2x^2+6)-(4x^3+5x^2-12)=

Solution for (4x^3-2x^2+6)-(4x^3+5x^2-12)= equation:

Simplifying
(4x3 + -2x2 + 6) + -1(4x3 + 5x2 + -12) = 0

Reorder the terms:
(6 + -2x2 + 4x3) + -1(4x3 + 5x2 + -12) = 0

Remove parenthesis around (6 + -2x2 + 4x3)
6 + -2x2 + 4x3 + -1(4x3 + 5x2 + -12) = 0

Reorder the terms:
6 + -2x2 + 4x3 + -1(-12 + 5x2 + 4x3) = 0
6 + -2x2 + 4x3 + (-12 * -1 + 5x2 * -1 + 4x3 * -1) = 0
6 + -2x2 + 4x3 + (12 + -5x2 + -4x3) = 0

Reorder the terms:
6 + 12 + -2x2 + -5x2 + 4x3 + -4x3 = 0

Combine like terms: 6 + 12 = 18
18 + -2x2 + -5x2 + 4x3 + -4x3 = 0

Combine like terms: -2x2 + -5x2 = -7x2
18 + -7x2 + 4x3 + -4x3 = 0

Combine like terms: 4x3 + -4x3 = 0
18 + -7x2 + 0 = 0
18 + -7x2 = 0

Solving
18 + -7x2 = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -7x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -7x2 = 0 + -18
-7x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-7x2 = -18

Divide each side by '-7'.
x2 = 2.571428571

Simplifying
x2 = 2.571428571

Take the square root of each side:
x = {-1.603567451, 1.603567451}