(x+6)(25x-105)=

Solution for (x+6)(25x-105)= equation:

Simplifying
(x + 6)(25x + -105) = 0

Reorder the terms:
(6 + x)(25x + -105) = 0

Reorder the terms:
(6 + x)(-105 + 25x) = 0

Multiply (6 + x) * (-105 + 25x)
(6(-105 + 25x) + x(-105 + 25x)) = 0
((-105 * 6 + 25x * 6) + x(-105 + 25x)) = 0
((-630 + 150x) + x(-105 + 25x)) = 0
(-630 + 150x + (-105 * x + 25x * x)) = 0
(-630 + 150x + (-105x + 25x2)) = 0

Combine like terms: 150x + -105x = 45x
(-630 + 45x + 25x2) = 0

Solving
-630 + 45x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-126 + 9x + 5x2) = 0

Factor a trinomial.
5((-6 + -1x)(21 + -5x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(21 + -5x)' equal to zero and attempt to solve:

Simplifying
21 + -5x = 0

Solving
21 + -5x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -5x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 0 + -21
-5x = 0 + -21

Combine like terms: 0 + -21 = -21
-5x = -21

Divide each side by '-5'.
x = 4.2

Simplifying
x = 4.2
Solution
x = {-6, 4.2}