(-2x+18)(5x+45)=0

Solution for (-2x+18)(5x+45)=0 equation:

Simplifying
(-2x + 18)(5x + 45) = 0

Reorder the terms:
(18 + -2x)(5x + 45) = 0

Reorder the terms:
(18 + -2x)(45 + 5x) = 0

Multiply (18 + -2x) * (45 + 5x)
(18(45 + 5x) + -2x * (45 + 5x)) = 0
((45 * 18 + 5x * 18) + -2x * (45 + 5x)) = 0
((810 + 90x) + -2x * (45 + 5x)) = 0
(810 + 90x + (45 * -2x + 5x * -2x)) = 0
(810 + 90x + (-90x + -10x2)) = 0

Combine like terms: 90x + -90x = 0
(810 + 0 + -10x2) = 0
(810 + -10x2) = 0

Solving
810 + -10x2 = 0

Solving for variable 'x'.

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

Add '-810' to each side of the equation.
810 + -810 + -10x2 = 0 + -810

Combine like terms: 810 + -810 = 0
0 + -10x2 = 0 + -810
-10x2 = 0 + -810

Combine like terms: 0 + -810 = -810
-10x2 = -810

Divide each side by '-10'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}