x(x)-6x=3x-20

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


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

Multiply x * x
x2 + -6x = 3x + -20

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

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

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

Solving for variable 'x'.

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

Combine like terms: -6x + -3x = -9x
20 + -9x + x2 = -20 + 3x + 20 + -3x

Reorder the terms:
20 + -9x + x2 = -20 + 20 + 3x + -3x

Combine like terms: -20 + 20 = 0
20 + -9x + x2 = 0 + 3x + -3x
20 + -9x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -9x + x2 = 0

Factor a trinomial.
(4 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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 = {4, 5}

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