(x+30)(x+40)=600

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Solution for (x+30)(x+40)=600 equation: 


Simplifying
(x + 30)(x + 40) = 600

Reorder the terms:
(30 + x)(x + 40) = 600

Reorder the terms:
(30 + x)(40 + x) = 600

Multiply (30 + x) * (40 + x)
(30(40 + x) + x(40 + x)) = 600
((40 * 30 + x * 30) + x(40 + x)) = 600
((1200 + 30x) + x(40 + x)) = 600
(1200 + 30x + (40 * x + x * x)) = 600
(1200 + 30x + (40x + x2)) = 600

Combine like terms: 30x + 40x = 70x
(1200 + 70x + x2) = 600

Solving
1200 + 70x + x2 = 600

Solving for variable 'x'.

Reorder the terms:
1200 + -600 + 70x + x2 = 600 + -600

Combine like terms: 1200 + -600 = 600
600 + 70x + x2 = 600 + -600

Combine like terms: 600 + -600 = 0
600 + 70x + x2 = 0

Factor a trinomial.
(60 + x)(10 + x) = 0


Subproblem 1
Set the factor '(60 + x)' equal to zero and attempt to solve:

Simplifying
60 + x = 0

Solving
60 + x = 0

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

Add '-60' to each side of the equation.
60 + -60 + x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + x = 0 + -60
x = 0 + -60

Combine like terms: 0 + -60 = -60
x = -60

Simplifying
x = -60

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {-60, -10}

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