x^2+3x+2=7x+2

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


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

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

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

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

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

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

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

Solving
3x + x2 = 7x

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Solution
x = {0, 4}

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