(x-3)(x+3)=(x-2)(x+4)

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Solution for (x-3)(x+3)=(x-2)(x+4) equation: 


Simplifying
(x + -3)(x + 3) = (x + -2)(x + 4)

Reorder the terms:
(-3 + x)(x + 3) = (x + -2)(x + 4)

Reorder the terms:
(-3 + x)(3 + x) = (x + -2)(x + 4)

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) = (x + -2)(x + 4)
((3 * -3 + x * -3) + x(3 + x)) = (x + -2)(x + 4)
((-9 + -3x) + x(3 + x)) = (x + -2)(x + 4)
(-9 + -3x + (3 * x + x * x)) = (x + -2)(x + 4)
(-9 + -3x + (3x + x2)) = (x + -2)(x + 4)

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) = (x + -2)(x + 4)
(-9 + x2) = (x + -2)(x + 4)

Reorder the terms:
-9 + x2 = (-2 + x)(x + 4)

Reorder the terms:
-9 + x2 = (-2 + x)(4 + x)

Multiply (-2 + x) * (4 + x)
-9 + x2 = (-2(4 + x) + x(4 + x))
-9 + x2 = ((4 * -2 + x * -2) + x(4 + x))
-9 + x2 = ((-8 + -2x) + x(4 + x))
-9 + x2 = (-8 + -2x + (4 * x + x * x))
-9 + x2 = (-8 + -2x + (4x + x2))

Combine like terms: -2x + 4x = 2x
-9 + x2 = (-8 + 2x + x2)

Add '-1x2' to each side of the equation.
-9 + x2 + -1x2 = -8 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 0 = -8 + 2x + x2 + -1x2
-9 = -8 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 = -8 + 2x + 0
-9 = -8 + 2x

Solving
-9 = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + -2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + -2x = -8 + 0
-9 + -2x = -8

Add '9' to each side of the equation.
-9 + 9 + -2x = -8 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -8 + 9
-2x = -8 + 9

Combine like terms: -8 + 9 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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