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

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


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

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

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

Multiply (3 + x) * (-7 + x)
(3(-7 + x) + x(-7 + x)) = (x + 7)(x + -3)
((-7 * 3 + x * 3) + x(-7 + x)) = (x + 7)(x + -3)
((-21 + 3x) + x(-7 + x)) = (x + 7)(x + -3)
(-21 + 3x + (-7 * x + x * x)) = (x + 7)(x + -3)
(-21 + 3x + (-7x + x2)) = (x + 7)(x + -3)

Combine like terms: 3x + -7x = -4x
(-21 + -4x + x2) = (x + 7)(x + -3)

Reorder the terms:
-21 + -4x + x2 = (7 + x)(x + -3)

Reorder the terms:
-21 + -4x + x2 = (7 + x)(-3 + x)

Multiply (7 + x) * (-3 + x)
-21 + -4x + x2 = (7(-3 + x) + x(-3 + x))
-21 + -4x + x2 = ((-3 * 7 + x * 7) + x(-3 + x))
-21 + -4x + x2 = ((-21 + 7x) + x(-3 + x))
-21 + -4x + x2 = (-21 + 7x + (-3 * x + x * x))
-21 + -4x + x2 = (-21 + 7x + (-3x + x2))

Combine like terms: 7x + -3x = 4x
-21 + -4x + x2 = (-21 + 4x + x2)

Add '21' to each side of the equation.
-21 + -4x + 21 + x2 = -21 + 4x + 21 + x2

Reorder the terms:
-21 + 21 + -4x + x2 = -21 + 4x + 21 + x2

Combine like terms: -21 + 21 = 0
0 + -4x + x2 = -21 + 4x + 21 + x2
-4x + x2 = -21 + 4x + 21 + x2

Reorder the terms:
-4x + x2 = -21 + 21 + 4x + x2

Combine like terms: -21 + 21 = 0
-4x + x2 = 0 + 4x + x2
-4x + x2 = 4x + x2

Add '-1x2' to each side of the equation.
-4x + x2 + -1x2 = 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4x + 0 = 4x + x2 + -1x2
-4x = 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4x = 4x + 0
-4x = 4x

Solving
-4x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4x + -4x = 4x + -4x

Combine like terms: -4x + -4x = -8x
-8x = 4x + -4x

Combine like terms: 4x + -4x = 0
-8x = 0

Divide each side by '-8'.
x = 0

Simplifying
x = 0

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