(x+6)(x-10)=

Solution for (x+6)(x-10)= equation:

Simplifying
(x + 6)(x + -10) = 0

Reorder the terms:
(6 + x)(x + -10) = 0

Reorder the terms:
(6 + x)(-10 + x) = 0

Multiply (6 + x) * (-10 + x)
(6(-10 + x) + x(-10 + x)) = 0
((-10 * 6 + x * 6) + x(-10 + x)) = 0
((-60 + 6x) + x(-10 + x)) = 0
(-60 + 6x + (-10 * x + x * x)) = 0
(-60 + 6x + (-10x + x2)) = 0

Combine like terms: 6x + -10x = -4x
(-60 + -4x + x2) = 0

Solving
-60 + -4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(10 + -1x) = 0

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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-6, 10}