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

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

Simplifying
5 + -2(3 + -4x2) + 6(x2 + -3) = 0
5 + (3 * -2 + -4x2 * -2) + 6(x2 + -3) = 0
5 + (-6 + 8x2) + 6(x2 + -3) = 0

Reorder the terms:
5 + -6 + 8x2 + 6(-3 + x2) = 0
5 + -6 + 8x2 + (-3 * 6 + x2 * 6) = 0
5 + -6 + 8x2 + (-18 + 6x2) = 0

Reorder the terms:
5 + -6 + -18 + 8x2 + 6x2 = 0

Combine like terms: 5 + -6 = -1
-1 + -18 + 8x2 + 6x2 = 0

Combine like terms: -1 + -18 = -19
-19 + 8x2 + 6x2 = 0

Combine like terms: 8x2 + 6x2 = 14x2
-19 + 14x2 = 0

Solving
-19 + 14x2 = 0

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 14x2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 14x2 = 0 + 19
14x2 = 0 + 19

Combine like terms: 0 + 19 = 19
14x2 = 19

Divide each side by '14'.
x2 = 1.357142857

Simplifying
x2 = 1.357142857

Take the square root of each side:
x = {-1.164964745, 1.164964745}