2(x^2-10x^2-24)=-80

Solution for 2(x^2-10x^2-24)=-80 equation:

Simplifying
2(x2 + -10x2 + -24) = -80

Reorder the terms:
2(-24 + x2 + -10x2) = -80

Combine like terms: x2 + -10x2 = -9x2
2(-24 + -9x2) = -80
(-24 * 2 + -9x2 * 2) = -80
(-48 + -18x2) = -80

Solving
-48 + -18x2 = -80

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + -18x2 = -80 + 48

Combine like terms: -48 + 48 = 0
0 + -18x2 = -80 + 48
-18x2 = -80 + 48

Combine like terms: -80 + 48 = -32
-18x2 = -32

Divide each side by '-18'.
x2 = 1.777777778

Simplifying
x2 = 1.777777778

Take the square root of each side:
x = {-1.333333333, 1.333333333}