x^2+3x-(x-4)=28

Solution for x^2+3x-(x-4)=28 equation:

Simplifying
x2 + 3x + -1(x + -4) = 28

Reorder the terms:
x2 + 3x + -1(-4 + x) = 28
x2 + 3x + (-4 * -1 + x * -1) = 28
x2 + 3x + (4 + -1x) = 28

Reorder the terms:
4 + 3x + -1x + x2 = 28

Combine like terms: 3x + -1x = 2x
4 + 2x + x2 = 28

Solving
4 + 2x + x2 = 28

Solving for variable 'x'.

Reorder the terms:
4 + -28 + 2x + x2 = 28 + -28

Combine like terms: 4 + -28 = -24
-24 + 2x + x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-24 + 2x + x2 = 0

Factor a trinomial.
(-6 + -1x)(4 + -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 '(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
Solution
x = {-6, 4}