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

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


Simplifying
X2 + -1(x + 2)(x + 2) = -3(x + -2)

Reorder the terms:
X2 + -1(2 + x)(x + 2) = -3(x + -2)

Reorder the terms:
X2 + -1(2 + x)(2 + x) = -3(x + -2)

Multiply (2 + x) * (2 + x)
X2 + -1(2(2 + x) + x(2 + x)) = -3(x + -2)
X2 + -1((2 * 2 + x * 2) + x(2 + x)) = -3(x + -2)
X2 + -1((4 + 2x) + x(2 + x)) = -3(x + -2)
X2 + -1(4 + 2x + (2 * x + x * x)) = -3(x + -2)
X2 + -1(4 + 2x + (2x + x2)) = -3(x + -2)

Combine like terms: 2x + 2x = 4x
X2 + -1(4 + 4x + x2) = -3(x + -2)
X2 + (4 * -1 + 4x * -1 + x2 * -1) = -3(x + -2)
X2 + (-4 + -4x + -1x2) = -3(x + -2)

Reorder the terms:
-4 + X2 + -4x + -1x2 = -3(x + -2)

Reorder the terms:
-4 + X2 + -4x + -1x2 = -3(-2 + x)
-4 + X2 + -4x + -1x2 = (-2 * -3 + x * -3)
-4 + X2 + -4x + -1x2 = (6 + -3x)

Solving
-4 + X2 + -4x + -1x2 = 6 + -3x

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + X2 + -4x + 4 + -1x2 = 6 + 4 + -3x

Reorder the terms:
-4 + 4 + X2 + -4x + -1x2 = 6 + 4 + -3x

Combine like terms: -4 + 4 = 0
0 + X2 + -4x + -1x2 = 6 + 4 + -3x
X2 + -4x + -1x2 = 6 + 4 + -3x

Combine like terms: 6 + 4 = 10
X2 + -4x + -1x2 = 10 + -3x

Add '4x' to each side of the equation.
X2 + -4x + 4x + -1x2 = 10 + -3x + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 + -1x2 = 10 + -3x + 4x
X2 + -1x2 = 10 + -3x + 4x

Combine like terms: -3x + 4x = 1x
X2 + -1x2 = 10 + 1x

Add 'x2' to each side of the equation.
X2 + -1x2 + x2 = 10 + 1x + x2

Combine like terms: -1x2 + x2 = 0
X2 + 0 = 10 + 1x + x2
X2 = 10 + 1x + x2

Simplifying
X2 = 10 + 1x + x2

Reorder the terms:
-10 + X2 + -1x + -1x2 = 10 + 1x + x2 + -10 + -1x + -1x2

Reorder the terms:
-10 + X2 + -1x + -1x2 = 10 + -10 + 1x + -1x + x2 + -1x2

Combine like terms: 10 + -10 = 0
-10 + X2 + -1x + -1x2 = 0 + 1x + -1x + x2 + -1x2
-10 + X2 + -1x + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
-10 + X2 + -1x + -1x2 = 0 + x2 + -1x2
-10 + X2 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + X2 + -1x + -1x2 = 0

The solution to this equation could not be determined.

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