(x)(x+4)=780

Solution for (x)(x+4)=780 equation:

Simplifying
(x)(x + 4) = 780

Reorder the terms:
x(4 + x) = 780
(4 * x + x * x) = 780
(4x + x2) = 780

Solving
4x + x2 = 780

Solving for variable 'x'.

Reorder the terms:
-780 + 4x + x2 = 780 + -780

Combine like terms: 780 + -780 = 0
-780 + 4x + x2 = 0

Factor a trinomial.
(-30 + -1x)(26 + -1x) = 0

Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30
Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve:

Simplifying
26 + -1x = 0

Solving
26 + -1x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 0 + -26
-1x = 0 + -26

Combine like terms: 0 + -26 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26
Solution
x = {-30, 26}