(x+2)(5x+60)=280

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Solution for (x+2)(5x+60)=280 equation: 


Simplifying
(x + 2)(5x + 60) = 280

Reorder the terms:
(2 + x)(5x + 60) = 280

Reorder the terms:
(2 + x)(60 + 5x) = 280

Multiply (2 + x) * (60 + 5x)
(2(60 + 5x) + x(60 + 5x)) = 280
((60 * 2 + 5x * 2) + x(60 + 5x)) = 280
((120 + 10x) + x(60 + 5x)) = 280
(120 + 10x + (60 * x + 5x * x)) = 280
(120 + 10x + (60x + 5x2)) = 280

Combine like terms: 10x + 60x = 70x
(120 + 70x + 5x2) = 280

Solving
120 + 70x + 5x2 = 280

Solving for variable 'x'.

Reorder the terms:
120 + -280 + 70x + 5x2 = 280 + -280

Combine like terms: 120 + -280 = -160
-160 + 70x + 5x2 = 280 + -280

Combine like terms: 280 + -280 = 0
-160 + 70x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-32 + 14x + x2) = 0

Factor a trinomial.
5((-16 + -1x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-16, 2}

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