(x-10)(x+4)=

Solution for (x-10)(x+4)= equation:

Simplifying
(x + -10)(x + 4) = 0

Reorder the terms:
(-10 + x)(x + 4) = 0

Reorder the terms:
(-10 + x)(4 + x) = 0

Multiply (-10 + x) * (4 + x)
(-10(4 + x) + x(4 + x)) = 0
((4 * -10 + x * -10) + x(4 + x)) = 0
((-40 + -10x) + x(4 + x)) = 0
(-40 + -10x + (4 * x + x * x)) = 0
(-40 + -10x + (4x + x2)) = 0

Combine like terms: -10x + 4x = -6x
(-40 + -6x + x2) = 0

Solving
-40 + -6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
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 = {-4, 10}