(x+3)(x-3)=16-2x^2

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Solution for (x+3)(x-3)=16-2x^2 equation: 


Simplifying
(x + 3)(x + -3) = 16 + -2x2

Reorder the terms:
(3 + x)(x + -3) = 16 + -2x2

Reorder the terms:
(3 + x)(-3 + x) = 16 + -2x2

Multiply (3 + x) * (-3 + x)
(3(-3 + x) + x(-3 + x)) = 16 + -2x2
((-3 * 3 + x * 3) + x(-3 + x)) = 16 + -2x2
((-9 + 3x) + x(-3 + x)) = 16 + -2x2
(-9 + 3x + (-3 * x + x * x)) = 16 + -2x2
(-9 + 3x + (-3x + x2)) = 16 + -2x2

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) = 16 + -2x2
(-9 + x2) = 16 + -2x2

Solving
-9 + x2 = 16 + -2x2

Solving for variable 'x'.

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

Add '2x2' to each side of the equation.
-9 + x2 + 2x2 = 16 + -2x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
-9 + 3x2 = 16 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-9 + 3x2 = 16 + 0
-9 + 3x2 = 16

Add '9' to each side of the equation.
-9 + 9 + 3x2 = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 3x2 = 16 + 9
3x2 = 16 + 9

Combine like terms: 16 + 9 = 25
3x2 = 25

Divide each side by '3'.
x2 = 8.333333333

Simplifying
x2 = 8.333333333

Take the square root of each side:
x = {-2.886751346, 2.886751346}

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