-3x^2+66x-330=3x

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Solution for -3x^2+66x-330=3x equation: 


Simplifying
-3x2 + 66x + -330 = 3x

Reorder the terms:
-330 + 66x + -3x2 = 3x

Solving
-330 + 66x + -3x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-330 + 66x + -3x + -3x2 = 3x + -3x

Combine like terms: 66x + -3x = 63x
-330 + 63x + -3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-330 + 63x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-110 + 21x + -1x2) = 0

Factor a trinomial.
3((-11 + x)(10 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 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 + x = 0 + 11

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

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

Simplifying
x = 11

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {11, 10}

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