6x(x-2)+4(3x-5)=130

Solution for 6x(x-2)+4(3x-5)=130 equation:

Simplifying
6x(x + -2) + 4(3x + -5) = 130

Reorder the terms:
6x(-2 + x) + 4(3x + -5) = 130
(-2 * 6x + x * 6x) + 4(3x + -5) = 130
(-12x + 6x2) + 4(3x + -5) = 130

Reorder the terms:
-12x + 6x2 + 4(-5 + 3x) = 130
-12x + 6x2 + (-5 * 4 + 3x * 4) = 130
-12x + 6x2 + (-20 + 12x) = 130

Reorder the terms:
-20 + -12x + 12x + 6x2 = 130

Combine like terms: -12x + 12x = 0
-20 + 0 + 6x2 = 130
-20 + 6x2 = 130

Solving
-20 + 6x2 = 130

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 6x2 = 130 + 20

Combine like terms: -20 + 20 = 0
0 + 6x2 = 130 + 20
6x2 = 130 + 20

Combine like terms: 130 + 20 = 150
6x2 = 150

Divide each side by '6'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}