(x-7)(x-7)=(x-7)(x-7)

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


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

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

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

Multiply (-7 + x) * (-7 + x)
(-7(-7 + x) + x(-7 + x)) = (x + -7)(x + -7)
((-7 * -7 + x * -7) + x(-7 + x)) = (x + -7)(x + -7)
((49 + -7x) + x(-7 + x)) = (x + -7)(x + -7)
(49 + -7x + (-7 * x + x * x)) = (x + -7)(x + -7)
(49 + -7x + (-7x + x2)) = (x + -7)(x + -7)

Combine like terms: -7x + -7x = -14x
(49 + -14x + x2) = (x + -7)(x + -7)

Reorder the terms:
49 + -14x + x2 = (-7 + x)(x + -7)

Reorder the terms:
49 + -14x + x2 = (-7 + x)(-7 + x)

Multiply (-7 + x) * (-7 + x)
49 + -14x + x2 = (-7(-7 + x) + x(-7 + x))
49 + -14x + x2 = ((-7 * -7 + x * -7) + x(-7 + x))
49 + -14x + x2 = ((49 + -7x) + x(-7 + x))
49 + -14x + x2 = (49 + -7x + (-7 * x + x * x))
49 + -14x + x2 = (49 + -7x + (-7x + x2))

Combine like terms: -7x + -7x = -14x
49 + -14x + x2 = (49 + -14x + x2)

Add '-49' to each side of the equation.
49 + -14x + -49 + x2 = 49 + -14x + -49 + x2

Reorder the terms:
49 + -49 + -14x + x2 = 49 + -14x + -49 + x2

Combine like terms: 49 + -49 = 0
0 + -14x + x2 = 49 + -14x + -49 + x2
-14x + x2 = 49 + -14x + -49 + x2

Reorder the terms:
-14x + x2 = 49 + -49 + -14x + x2

Combine like terms: 49 + -49 = 0
-14x + x2 = 0 + -14x + x2
-14x + x2 = -14x + x2

Add '14x' to each side of the equation.
-14x + 14x + x2 = -14x + 14x + x2

Combine like terms: -14x + 14x = 0
0 + x2 = -14x + 14x + x2
x2 = -14x + 14x + x2

Combine like terms: -14x + 14x = 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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