3x^2-7x+3=2x^2-4x+3

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Solution for 3x^2-7x+3=2x^2-4x+3 equation: 


Simplifying
3x2 + -7x + 3 = 2x2 + -4x + 3

Reorder the terms:
3 + -7x + 3x2 = 2x2 + -4x + 3

Reorder the terms:
3 + -7x + 3x2 = 3 + -4x + 2x2

Add '-3' to each side of the equation.
3 + -7x + -3 + 3x2 = 3 + -4x + -3 + 2x2

Reorder the terms:
3 + -3 + -7x + 3x2 = 3 + -4x + -3 + 2x2

Combine like terms: 3 + -3 = 0
0 + -7x + 3x2 = 3 + -4x + -3 + 2x2
-7x + 3x2 = 3 + -4x + -3 + 2x2

Reorder the terms:
-7x + 3x2 = 3 + -3 + -4x + 2x2

Combine like terms: 3 + -3 = 0
-7x + 3x2 = 0 + -4x + 2x2
-7x + 3x2 = -4x + 2x2

Solving
-7x + 3x2 = -4x + 2x2

Solving for variable 'x'.

Reorder the terms:
-7x + 4x + 3x2 + -2x2 = -4x + 2x2 + 4x + -2x2

Combine like terms: -7x + 4x = -3x
-3x + 3x2 + -2x2 = -4x + 2x2 + 4x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-3x + 1x2 = -4x + 2x2 + 4x + -2x2

Reorder the terms:
-3x + 1x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
-3x + 1x2 = 0 + 2x2 + -2x2
-3x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3x + 1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + x) = 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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

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

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

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

Simplifying
x = 3
Solution
x = {0, 3}

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