(x-3)(x+3)-(x+7)(x-3)=0

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Solution for (x-3)(x+3)-(x+7)(x-3)=0 equation: 


Simplifying
(x + -3)(x + 3) + -1(x + 7)(x + -3) = 0

Reorder the terms:
(-3 + x)(x + 3) + -1(x + 7)(x + -3) = 0

Reorder the terms:
(-3 + x)(3 + x) + -1(x + 7)(x + -3) = 0

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) + -1(x + 7)(x + -3) = 0
((3 * -3 + x * -3) + x(3 + x)) + -1(x + 7)(x + -3) = 0
((-9 + -3x) + x(3 + x)) + -1(x + 7)(x + -3) = 0
(-9 + -3x + (3 * x + x * x)) + -1(x + 7)(x + -3) = 0
(-9 + -3x + (3x + x2)) + -1(x + 7)(x + -3) = 0

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) + -1(x + 7)(x + -3) = 0
(-9 + x2) + -1(x + 7)(x + -3) = 0

Reorder the terms:
-9 + x2 + -1(7 + x)(x + -3) = 0

Reorder the terms:
-9 + x2 + -1(7 + x)(-3 + x) = 0

Multiply (7 + x) * (-3 + x)
-9 + x2 + -1(7(-3 + x) + x(-3 + x)) = 0
-9 + x2 + -1((-3 * 7 + x * 7) + x(-3 + x)) = 0
-9 + x2 + -1((-21 + 7x) + x(-3 + x)) = 0
-9 + x2 + -1(-21 + 7x + (-3 * x + x * x)) = 0
-9 + x2 + -1(-21 + 7x + (-3x + x2)) = 0

Combine like terms: 7x + -3x = 4x
-9 + x2 + -1(-21 + 4x + x2) = 0
-9 + x2 + (-21 * -1 + 4x * -1 + x2 * -1) = 0
-9 + x2 + (21 + -4x + -1x2) = 0

Reorder the terms:
-9 + 21 + -4x + x2 + -1x2 = 0

Combine like terms: -9 + 21 = 12
12 + -4x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
12 + -4x + 0 = 0
12 + -4x = 0

Solving
12 + -4x = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -4x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 0 + -12
-4x = 0 + -12

Combine like terms: 0 + -12 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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