7+x(x-4)=19

Solution for 7+x(x-4)=19 equation:

Simplifying
7 + x(x + -4) = 19

Reorder the terms:
7 + x(-4 + x) = 19
7 + (-4 * x + x * x) = 19
7 + (-4x + x2) = 19

Solving
7 + -4x + x2 = 19

Solving for variable 'x'.

Reorder the terms:
7 + -19 + -4x + x2 = 19 + -19

Combine like terms: 7 + -19 = -12
-12 + -4x + x2 = 19 + -19

Combine like terms: 19 + -19 = 0
-12 + -4x + x2 = 0

Factor a trinomial.
(-2 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
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
Solution
x = {-2, 6}