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

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


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

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

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

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

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

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

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

Solving
-7x + x2 = 2x

Solving for variable 'x'.

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

Combine like terms: -7x + -2x = -9x
-9x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-9x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + 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 '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

Add '9' to each side of the equation.
-9 + 9 + x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + x = 0 + 9
x = 0 + 9

Combine like terms: 0 + 9 = 9
x = 9

Simplifying
x = 9
Solution
x = {0, 9}

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