3(x^2-2x)=3x+5x-11

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Solution for 3(x^2-2x)=3x+5x-11 equation: 


Simplifying
3(x2 + -2x) = 3x + 5x + -11

Reorder the terms:
3(-2x + x2) = 3x + 5x + -11
(-2x * 3 + x2 * 3) = 3x + 5x + -11
(-6x + 3x2) = 3x + 5x + -11

Reorder the terms:
-6x + 3x2 = -11 + 3x + 5x

Combine like terms: 3x + 5x = 8x
-6x + 3x2 = -11 + 8x

Solving
-6x + 3x2 = -11 + 8x

Solving for variable 'x'.

Reorder the terms:
11 + -6x + -8x + 3x2 = -11 + 8x + 11 + -8x

Combine like terms: -6x + -8x = -14x
11 + -14x + 3x2 = -11 + 8x + 11 + -8x

Reorder the terms:
11 + -14x + 3x2 = -11 + 11 + 8x + -8x

Combine like terms: -11 + 11 = 0
11 + -14x + 3x2 = 0 + 8x + -8x
11 + -14x + 3x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
11 + -14x + 3x2 = 0

Factor a trinomial.
(1 + -1x)(11 + -3x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(11 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {1, 3.666666667}

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