1=3x^2-10x+1

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Solution for 1=3x^2-10x+1 equation: 


Simplifying
1 = 3x2 + -10x + 1

Reorder the terms:
1 = 1 + -10x + 3x2

Add '-1' to each side of the equation.
1 + -1 = 1 + -10x + -1 + 3x2

Combine like terms: 1 + -1 = 0
0 = 1 + -10x + -1 + 3x2

Reorder the terms:
0 = 1 + -1 + -10x + 3x2

Combine like terms: 1 + -1 = 0
0 = 0 + -10x + 3x2
0 = -10x + 3x2

Solving
0 = -10x + 3x2

Solving for variable 'x'.
Remove the zero:
10x + -3x2 = -10x + 3x2 + 10x + -3x2

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + -3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, 3.333333333}

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