x(x-7)=x^2-7x

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Solution for x(x-7)=x^2-7x equation: 


Simplifying
x(x + -7) = x2 + -7x

Reorder the terms:
x(-7 + x) = x2 + -7x
(-7 * x + x * x) = x2 + -7x
(-7x + x2) = x2 + -7x

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

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

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

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

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

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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