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

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


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

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

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

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

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

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

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

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

Combine like terms: 3x + 3x = 6x
49 + -14x + x2 = (9 + 6x + x2)

Add '-1x2' to each side of the equation.
49 + -14x + x2 + -1x2 = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + -14x + 0 = 9 + 6x + x2 + -1x2
49 + -14x = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + -14x = 9 + 6x + 0
49 + -14x = 9 + 6x

Solving
49 + -14x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
49 + -14x + -6x = 9 + 6x + -6x

Combine like terms: -14x + -6x = -20x
49 + -20x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
49 + -20x = 9 + 0
49 + -20x = 9

Add '-49' to each side of the equation.
49 + -49 + -20x = 9 + -49

Combine like terms: 49 + -49 = 0
0 + -20x = 9 + -49
-20x = 9 + -49

Combine like terms: 9 + -49 = -40
-20x = -40

Divide each side by '-20'.
x = 2

Simplifying
x = 2

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