(5x+5)(x+4)=270

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Solution for (5x+5)(x+4)=270 equation: 


Simplifying
(5x + 5)(x + 4) = 270

Reorder the terms:
(5 + 5x)(x + 4) = 270

Reorder the terms:
(5 + 5x)(4 + x) = 270

Multiply (5 + 5x) * (4 + x)
(5(4 + x) + 5x * (4 + x)) = 270
((4 * 5 + x * 5) + 5x * (4 + x)) = 270
((20 + 5x) + 5x * (4 + x)) = 270
(20 + 5x + (4 * 5x + x * 5x)) = 270
(20 + 5x + (20x + 5x2)) = 270

Combine like terms: 5x + 20x = 25x
(20 + 25x + 5x2) = 270

Solving
20 + 25x + 5x2 = 270

Solving for variable 'x'.

Reorder the terms:
20 + -270 + 25x + 5x2 = 270 + -270

Combine like terms: 20 + -270 = -250
-250 + 25x + 5x2 = 270 + -270

Combine like terms: 270 + -270 = 0
-250 + 25x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-50 + 5x + x2) = 0

Factor a trinomial.
5((-10 + -1x)(5 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 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 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-10, 5}

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