(x+2)(x+4)=20+10(x)

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Solution for (x+2)(x+4)=20+10(x) equation: 


Simplifying
(x + 2)(x + 4) = 20 + 10(x)

Reorder the terms:
(2 + x)(x + 4) = 20 + 10(x)

Reorder the terms:
(2 + x)(4 + x) = 20 + 10(x)

Multiply (2 + x) * (4 + x)
(2(4 + x) + x(4 + x)) = 20 + 10(x)
((4 * 2 + x * 2) + x(4 + x)) = 20 + 10(x)
((8 + 2x) + x(4 + x)) = 20 + 10(x)
(8 + 2x + (4 * x + x * x)) = 20 + 10(x)
(8 + 2x + (4x + x2)) = 20 + 10(x)

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2) = 20 + 10(x)

Solving
8 + 6x + x2 = 20 + 10x

Solving for variable 'x'.

Reorder the terms:
8 + -20 + 6x + -10x + x2 = 20 + 10x + -20 + -10x

Combine like terms: 8 + -20 = -12
-12 + 6x + -10x + x2 = 20 + 10x + -20 + -10x

Combine like terms: 6x + -10x = -4x
-12 + -4x + x2 = 20 + 10x + -20 + -10x

Reorder the terms:
-12 + -4x + x2 = 20 + -20 + 10x + -10x

Combine like terms: 20 + -20 = 0
-12 + -4x + x2 = 0 + 10x + -10x
-12 + -4x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + -4x + x2 = 0

Factor a trinomial.
(-2 + -1x)(6 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-2, 6}

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