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

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


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

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

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

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

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

Reorder the terms:
-4 + x2 = x(-3 + x)
-4 + x2 = (-3 * x + x * x)
-4 + x2 = (-3x + x2)

Add '-1x2' to each side of the equation.
-4 + x2 + -1x2 = -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + 0 = -3x + x2 + -1x2
-4 = -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 = -3x + 0
-4 = -3x

Solving
-4 = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 3x = 0

Add '4' to each side of the equation.
-4 + 4 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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