(3-x)(3+2x)-(3+x)(3-2x)=0

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Solution for (3-x)(3+2x)-(3+x)(3-2x)=0 equation:


Simplifying
(3 + -1x)(3 + 2x) + -1(3 + x)(3 + -2x) = 0

Multiply (3 + -1x) * (3 + 2x)
(3(3 + 2x) + -1x * (3 + 2x)) + -1(3 + x)(3 + -2x) = 0
((3 * 3 + 2x * 3) + -1x * (3 + 2x)) + -1(3 + x)(3 + -2x) = 0
((9 + 6x) + -1x * (3 + 2x)) + -1(3 + x)(3 + -2x) = 0
(9 + 6x + (3 * -1x + 2x * -1x)) + -1(3 + x)(3 + -2x) = 0
(9 + 6x + (-3x + -2x2)) + -1(3 + x)(3 + -2x) = 0

Combine like terms: 6x + -3x = 3x
(9 + 3x + -2x2) + -1(3 + x)(3 + -2x) = 0

Multiply (3 + x) * (3 + -2x)
9 + 3x + -2x2 + -1(3(3 + -2x) + x(3 + -2x)) = 0
9 + 3x + -2x2 + -1((3 * 3 + -2x * 3) + x(3 + -2x)) = 0
9 + 3x + -2x2 + -1((9 + -6x) + x(3 + -2x)) = 0
9 + 3x + -2x2 + -1(9 + -6x + (3 * x + -2x * x)) = 0
9 + 3x + -2x2 + -1(9 + -6x + (3x + -2x2)) = 0

Combine like terms: -6x + 3x = -3x
9 + 3x + -2x2 + -1(9 + -3x + -2x2) = 0
9 + 3x + -2x2 + (9 * -1 + -3x * -1 + -2x2 * -1) = 0
9 + 3x + -2x2 + (-9 + 3x + 2x2) = 0

Reorder the terms:
9 + -9 + 3x + 3x + -2x2 + 2x2 = 0

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

Combine like terms: 3x + 3x = 6x
6x + -2x2 + 2x2 = 0

Combine like terms: -2x2 + 2x2 = 0
6x + 0 = 0
6x = 0

Solving
6x = 0

Solving for variable 'x'.

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

Divide each side by '6'.
x = 0

Simplifying
x = 0

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