(x-7)(x-7)=(x-9)(x-3)

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Solution for (x-7)(x-7)=(x-9)(x-3) equation: 


Simplifying
(x + -7)(x + -7) = (x + -9)(x + -3)

Reorder the terms:
(-7 + x)(x + -7) = (x + -9)(x + -3)

Reorder the terms:
(-7 + x)(-7 + x) = (x + -9)(x + -3)

Multiply (-7 + x) * (-7 + x)
(-7(-7 + x) + x(-7 + x)) = (x + -9)(x + -3)
((-7 * -7 + x * -7) + x(-7 + x)) = (x + -9)(x + -3)
((49 + -7x) + x(-7 + x)) = (x + -9)(x + -3)
(49 + -7x + (-7 * x + x * x)) = (x + -9)(x + -3)
(49 + -7x + (-7x + x2)) = (x + -9)(x + -3)

Combine like terms: -7x + -7x = -14x
(49 + -14x + x2) = (x + -9)(x + -3)

Reorder the terms:
49 + -14x + x2 = (-9 + x)(x + -3)

Reorder the terms:
49 + -14x + x2 = (-9 + x)(-3 + x)

Multiply (-9 + x) * (-3 + x)
49 + -14x + x2 = (-9(-3 + x) + x(-3 + x))
49 + -14x + x2 = ((-3 * -9 + x * -9) + x(-3 + x))
49 + -14x + x2 = ((27 + -9x) + x(-3 + x))
49 + -14x + x2 = (27 + -9x + (-3 * x + x * x))
49 + -14x + x2 = (27 + -9x + (-3x + x2))

Combine like terms: -9x + -3x = -12x
49 + -14x + x2 = (27 + -12x + x2)

Add '-1x2' to each side of the equation.
49 + -14x + x2 + -1x2 = 27 + -12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + -14x + 0 = 27 + -12x + x2 + -1x2
49 + -14x = 27 + -12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + -14x = 27 + -12x + 0
49 + -14x = 27 + -12x

Solving
49 + -14x = 27 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
49 + -14x + 12x = 27 + -12x + 12x

Combine like terms: -14x + 12x = -2x
49 + -2x = 27 + -12x + 12x

Combine like terms: -12x + 12x = 0
49 + -2x = 27 + 0
49 + -2x = 27

Add '-49' to each side of the equation.
49 + -49 + -2x = 27 + -49

Combine like terms: 49 + -49 = 0
0 + -2x = 27 + -49
-2x = 27 + -49

Combine like terms: 27 + -49 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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