x(x+2x)=4(4+x+1)

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Solution for x(x+2x)=4(4+x+1) equation: 


Simplifying
x(x + 2x) = 4(4 + x + 1)

Combine like terms: x + 2x = 3x
x(3x) = 4(4 + x + 1)

Remove parenthesis around (3x)
x * 3x = 4(4 + x + 1)

Reorder the terms for easier multiplication:
3x * x = 4(4 + x + 1)

Multiply x * x
3x2 = 4(4 + x + 1)

Reorder the terms:
3x2 = 4(4 + 1 + x)

Combine like terms: 4 + 1 = 5
3x2 = 4(5 + x)
3x2 = (5 * 4 + x * 4)
3x2 = (20 + 4x)

Solving
3x2 = 20 + 4x

Solving for variable 'x'.

Reorder the terms:
-20 + -4x + 3x2 = 20 + 4x + -20 + -4x

Reorder the terms:
-20 + -4x + 3x2 = 20 + -20 + 4x + -4x

Combine like terms: 20 + -20 = 0
-20 + -4x + 3x2 = 0 + 4x + -4x
-20 + -4x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + -4x + 3x2 = 0

Factor a trinomial.
(-2 + -1x)(10 + -3x) = 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 '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 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 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {-2, 3.333333333}

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