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

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


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

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

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

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

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

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

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

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

Combine like terms: 4x + -2x = 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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