(x+4)(x+3)=110

Solution for (x+4)(x+3)=110 equation:

Simplifying
(x + 4)(x + 3) = 110

Reorder the terms:
(4 + x)(x + 3) = 110

Reorder the terms:
(4 + x)(3 + x) = 110

Multiply (4 + x) * (3 + x)
(4(3 + x) + x(3 + x)) = 110
((3 * 4 + x * 4) + x(3 + x)) = 110
((12 + 4x) + x(3 + x)) = 110
(12 + 4x + (3 * x + x * x)) = 110
(12 + 4x + (3x + x2)) = 110

Combine like terms: 4x + 3x = 7x
(12 + 7x + x2) = 110

Solving
12 + 7x + x2 = 110

Solving for variable 'x'.

Reorder the terms:
12 + -110 + 7x + x2 = 110 + -110

Combine like terms: 12 + -110 = -98
-98 + 7x + x2 = 110 + -110

Combine like terms: 110 + -110 = 0
-98 + 7x + x2 = 0

Factor a trinomial.
(-14 + -1x)(7 + -1x) = 0

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-14, 7}