(4+5+x)*(x+5)=480

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Solution for (4+5+x)*(x+5)=480 equation: 


Simplifying
(4 + 5 + x)(x + 5) = 480

Combine like terms: 4 + 5 = 9
(9 + x)(x + 5) = 480

Reorder the terms:
(9 + x)(5 + x) = 480

Multiply (9 + x) * (5 + x)
(9(5 + x) + x(5 + x)) = 480
((5 * 9 + x * 9) + x(5 + x)) = 480
((45 + 9x) + x(5 + x)) = 480
(45 + 9x + (5 * x + x * x)) = 480
(45 + 9x + (5x + x2)) = 480

Combine like terms: 9x + 5x = 14x
(45 + 14x + x2) = 480

Solving
45 + 14x + x2 = 480

Solving for variable 'x'.

Reorder the terms:
45 + -480 + 14x + x2 = 480 + -480

Combine like terms: 45 + -480 = -435
-435 + 14x + x2 = 480 + -480

Combine like terms: 480 + -480 = 0
-435 + 14x + x2 = 0

Factor a trinomial.
(-29 + -1x)(15 + -1x) = 0


Subproblem 1
Set the factor '(-29 + -1x)' equal to zero and attempt to solve:

Simplifying
-29 + -1x = 0

Solving
-29 + -1x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -1x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -1x = 0 + 29
-1x = 0 + 29

Combine like terms: 0 + 29 = 29
-1x = 29

Divide each side by '-1'.
x = -29

Simplifying
x = -29

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-29, 15}

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