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

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

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

Reorder the terms:
(-6 + x2) + -3(2x2 + -5) = 0

Remove parenthesis around (-6 + x2)
-6 + x2 + -3(2x2 + -5) = 0

Reorder the terms:
-6 + x2 + -3(-5 + 2x2) = 0
-6 + x2 + (-5 * -3 + 2x2 * -3) = 0
-6 + x2 + (15 + -6x2) = 0

Reorder the terms:
-6 + 15 + x2 + -6x2 = 0

Combine like terms: -6 + 15 = 9
9 + x2 + -6x2 = 0

Combine like terms: x2 + -6x2 = -5x2
9 + -5x2 = 0

Solving
9 + -5x2 = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -5x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x2 = 0 + -9
-5x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-5x2 = -9

Divide each side by '-5'.
x2 = 1.8

Simplifying
x2 = 1.8

Take the square root of each side:
x = {-1.341640787, 1.341640787}