(x+4)(x-9)+5x=0

Solution for (x+4)(x-9)+5x=0 equation:

Simplifying
(x + 4)(x + -9) + 5x = 0

Reorder the terms:
(4 + x)(x + -9) + 5x = 0

Reorder the terms:
(4 + x)(-9 + x) + 5x = 0

Multiply (4 + x) * (-9 + x)
(4(-9 + x) + x(-9 + x)) + 5x = 0
((-9 * 4 + x * 4) + x(-9 + x)) + 5x = 0
((-36 + 4x) + x(-9 + x)) + 5x = 0
(-36 + 4x + (-9 * x + x * x)) + 5x = 0
(-36 + 4x + (-9x + x2)) + 5x = 0

Combine like terms: 4x + -9x = -5x
(-36 + -5x + x2) + 5x = 0

Reorder the terms:
-36 + -5x + 5x + x2 = 0

Combine like terms: -5x + 5x = 0
-36 + 0 + x2 = 0
-36 + x2 = 0

Solving
-36 + x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + x2 = 0 + 36
x2 = 0 + 36

Combine like terms: 0 + 36 = 36
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}