x^2-7x+5=5

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Solution for x^2-7x+5=5 equation: 


Simplifying
x2 + -7x + 5 = 5

Reorder the terms:
5 + -7x + x2 = 5

Add '-5' to each side of the equation.
5 + -7x + -5 + x2 = 5 + -5

Reorder the terms:
5 + -5 + -7x + x2 = 5 + -5

Combine like terms: 5 + -5 = 0
0 + -7x + x2 = 5 + -5
-7x + x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-7x + x2 = 0

Solving
-7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 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 '(-7 + x)' equal to zero and attempt to solve:

Simplifying
-7 + x = 0

Solving
-7 + x = 0

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

Add '7' to each side of the equation.
-7 + 7 + x = 0 + 7

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

Combine like terms: 0 + 7 = 7
x = 7

Simplifying
x = 7
Solution
x = {0, 7}

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