(x+3)(x-3)+(x-5)(x+5)=

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Solution for (x+3)(x-3)+(x-5)(x+5)= equation: 


Simplifying
(x + 3)(x + -3) + (x + -5)(x + 5) = 0

Reorder the terms:
(3 + x)(x + -3) + (x + -5)(x + 5) = 0

Reorder the terms:
(3 + x)(-3 + x) + (x + -5)(x + 5) = 0

Multiply (3 + x) * (-3 + x)
(3(-3 + x) + x(-3 + x)) + (x + -5)(x + 5) = 0
((-3 * 3 + x * 3) + x(-3 + x)) + (x + -5)(x + 5) = 0
((-9 + 3x) + x(-3 + x)) + (x + -5)(x + 5) = 0
(-9 + 3x + (-3 * x + x * x)) + (x + -5)(x + 5) = 0
(-9 + 3x + (-3x + x2)) + (x + -5)(x + 5) = 0

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) + (x + -5)(x + 5) = 0
(-9 + x2) + (x + -5)(x + 5) = 0

Reorder the terms:
-9 + x2 + (-5 + x)(x + 5) = 0

Reorder the terms:
-9 + x2 + (-5 + x)(5 + x) = 0

Multiply (-5 + x) * (5 + x)
-9 + x2 + (-5(5 + x) + x(5 + x)) = 0
-9 + x2 + ((5 * -5 + x * -5) + x(5 + x)) = 0
-9 + x2 + ((-25 + -5x) + x(5 + x)) = 0
-9 + x2 + (-25 + -5x + (5 * x + x * x)) = 0
-9 + x2 + (-25 + -5x + (5x + x2)) = 0

Combine like terms: -5x + 5x = 0
-9 + x2 + (-25 + 0 + x2) = 0
-9 + x2 + (-25 + x2) = 0

Reorder the terms:
-9 + -25 + x2 + x2 = 0

Combine like terms: -9 + -25 = -34
-34 + x2 + x2 = 0

Combine like terms: x2 + x2 = 2x2
-34 + 2x2 = 0

Solving
-34 + 2x2 = 0

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 2x2 = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 2x2 = 0 + 34
2x2 = 0 + 34

Combine like terms: 0 + 34 = 34
2x2 = 34

Divide each side by '2'.
x2 = 17

Simplifying
x2 = 17

Take the square root of each side:
x = {-4.123105626, 4.123105626}

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