(x+4)(x-15)=6x

Solution for (x+4)(x-15)=6x equation:

Simplifying
(x + 4)(x + -15) = 6x

Reorder the terms:
(4 + x)(x + -15) = 6x

Reorder the terms:
(4 + x)(-15 + x) = 6x

Multiply (4 + x) * (-15 + x)
(4(-15 + x) + x(-15 + x)) = 6x
((-15 * 4 + x * 4) + x(-15 + x)) = 6x
((-60 + 4x) + x(-15 + x)) = 6x
(-60 + 4x + (-15 * x + x * x)) = 6x
(-60 + 4x + (-15x + x2)) = 6x

Combine like terms: 4x + -15x = -11x
(-60 + -11x + x2) = 6x

Solving
-60 + -11x + x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-60 + -11x + -6x + x2 = 6x + -6x

Combine like terms: -11x + -6x = -17x
-60 + -17x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-60 + -17x + x2 = 0

Factor a trinomial.
(-3 + -1x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-3, 20}