x=3x^2-12x+10

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Solution for x=3x^2-12x+10 equation: 


Simplifying
x = 3x2 + -12x + 10

Reorder the terms:
x = 10 + -12x + 3x2

Solving
x = 10 + -12x + 3x2

Solving for variable 'x'.

Reorder the terms:
-10 + x + 12x + -3x2 = 10 + -12x + 3x2 + -10 + 12x + -3x2

Combine like terms: x + 12x = 13x
-10 + 13x + -3x2 = 10 + -12x + 3x2 + -10 + 12x + -3x2

Reorder the terms:
-10 + 13x + -3x2 = 10 + -10 + -12x + 12x + 3x2 + -3x2

Combine like terms: 10 + -10 = 0
-10 + 13x + -3x2 = 0 + -12x + 12x + 3x2 + -3x2
-10 + 13x + -3x2 = -12x + 12x + 3x2 + -3x2

Combine like terms: -12x + 12x = 0
-10 + 13x + -3x2 = 0 + 3x2 + -3x2
-10 + 13x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-10 + 13x + -3x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {3.333333333, 1}

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