(x+5)(x+4)=600

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Solution for (x+5)(x+4)=600 equation: 


Simplifying
(x + 5)(x + 4) = 600

Reorder the terms:
(5 + x)(x + 4) = 600

Reorder the terms:
(5 + x)(4 + x) = 600

Multiply (5 + x) * (4 + x)
(5(4 + x) + x(4 + x)) = 600
((4 * 5 + x * 5) + x(4 + x)) = 600
((20 + 5x) + x(4 + x)) = 600
(20 + 5x + (4 * x + x * x)) = 600
(20 + 5x + (4x + x2)) = 600

Combine like terms: 5x + 4x = 9x
(20 + 9x + x2) = 600

Solving
20 + 9x + x2 = 600

Solving for variable 'x'.

Reorder the terms:
20 + -600 + 9x + x2 = 600 + -600

Combine like terms: 20 + -600 = -580
-580 + 9x + x2 = 600 + -600

Combine like terms: 600 + -600 = 0
-580 + 9x + x2 = 0

Factor a trinomial.
(-29 + -1x)(20 + -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 '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-29, 20}

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