(x+3)(x-1)=4x

Solution for (x+3)(x-1)=4x equation:

Simplifying
(x + 3)(x + -1) = 4x

Reorder the terms:
(3 + x)(x + -1) = 4x

Reorder the terms:
(3 + x)(-1 + x) = 4x

Multiply (3 + x) * (-1 + x)
(3(-1 + x) + x(-1 + x)) = 4x
((-1 * 3 + x * 3) + x(-1 + x)) = 4x
((-3 + 3x) + x(-1 + x)) = 4x
(-3 + 3x + (-1 * x + x * x)) = 4x
(-3 + 3x + (-1x + x2)) = 4x

Combine like terms: 3x + -1x = 2x
(-3 + 2x + x2) = 4x

Solving
-3 + 2x + x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-3 + 2x + -4x + x2 = 4x + -4x

Combine like terms: 2x + -4x = -2x
-3 + -2x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -2x + x2 = 0

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

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
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
Solution
x = {-1, 3}