(x+11)(x+4)=198

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Solution for (x+11)(x+4)=198 equation: 


Simplifying
(x + 11)(x + 4) = 198

Reorder the terms:
(11 + x)(x + 4) = 198

Reorder the terms:
(11 + x)(4 + x) = 198

Multiply (11 + x) * (4 + x)
(11(4 + x) + x(4 + x)) = 198
((4 * 11 + x * 11) + x(4 + x)) = 198
((44 + 11x) + x(4 + x)) = 198
(44 + 11x + (4 * x + x * x)) = 198
(44 + 11x + (4x + x2)) = 198

Combine like terms: 11x + 4x = 15x
(44 + 15x + x2) = 198

Solving
44 + 15x + x2 = 198

Solving for variable 'x'.

Reorder the terms:
44 + -198 + 15x + x2 = 198 + -198

Combine like terms: 44 + -198 = -154
-154 + 15x + x2 = 198 + -198

Combine like terms: 198 + -198 = 0
-154 + 15x + x2 = 0

Factor a trinomial.
(-22 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve:

Simplifying
-22 + -1x = 0

Solving
-22 + -1x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 0 + 22
-1x = 0 + 22

Combine like terms: 0 + 22 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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 = {-22, 7}

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