3x(x-4)+2x=6x-20

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Solution for 3x(x-4)+2x=6x-20 equation: 


Simplifying
3x(x + -4) + 2x = 6x + -20

Reorder the terms:
3x(-4 + x) + 2x = 6x + -20
(-4 * 3x + x * 3x) + 2x = 6x + -20
(-12x + 3x2) + 2x = 6x + -20

Reorder the terms:
-12x + 2x + 3x2 = 6x + -20

Combine like terms: -12x + 2x = -10x
-10x + 3x2 = 6x + -20

Reorder the terms:
-10x + 3x2 = -20 + 6x

Solving
-10x + 3x2 = -20 + 6x

Solving for variable 'x'.

Reorder the terms:
20 + -10x + -6x + 3x2 = -20 + 6x + 20 + -6x

Combine like terms: -10x + -6x = -16x
20 + -16x + 3x2 = -20 + 6x + 20 + -6x

Reorder the terms:
20 + -16x + 3x2 = -20 + 20 + 6x + -6x

Combine like terms: -20 + 20 = 0
20 + -16x + 3x2 = 0 + 6x + -6x
20 + -16x + 3x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -16x + 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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