(x-5)(6x+30)=0

Solution for (x-5)(6x+30)=0 equation:

Simplifying
(x + -5)(6x + 30) = 0

Reorder the terms:
(-5 + x)(6x + 30) = 0

Reorder the terms:
(-5 + x)(30 + 6x) = 0

Multiply (-5 + x) * (30 + 6x)
(-5(30 + 6x) + x(30 + 6x)) = 0
((30 * -5 + 6x * -5) + x(30 + 6x)) = 0
((-150 + -30x) + x(30 + 6x)) = 0
(-150 + -30x + (30 * x + 6x * x)) = 0
(-150 + -30x + (30x + 6x2)) = 0

Combine like terms: -30x + 30x = 0
(-150 + 0 + 6x2) = 0
(-150 + 6x2) = 0

Solving
-150 + 6x2 = 0

Solving for variable 'x'.

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

Add '150' to each side of the equation.
-150 + 150 + 6x2 = 0 + 150

Combine like terms: -150 + 150 = 0
0 + 6x2 = 0 + 150
6x2 = 0 + 150

Combine like terms: 0 + 150 = 150
6x2 = 150

Divide each side by '6'.
x2 = 25

Simplifying
x2 = 25

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