(X+3)(X+3)+3=(X-4)(X-4)

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Solution for (X+3)(X+3)+3=(X-4)(X-4) equation: 


Simplifying
(X + 3)(X + 3) + 3 = (X + -4)(X + -4)

Reorder the terms:
(3 + X)(X + 3) + 3 = (X + -4)(X + -4)

Reorder the terms:
(3 + X)(3 + X) + 3 = (X + -4)(X + -4)

Multiply (3 + X) * (3 + X)
(3(3 + X) + X(3 + X)) + 3 = (X + -4)(X + -4)
((3 * 3 + X * 3) + X(3 + X)) + 3 = (X + -4)(X + -4)
((9 + 3X) + X(3 + X)) + 3 = (X + -4)(X + -4)
(9 + 3X + (3 * X + X * X)) + 3 = (X + -4)(X + -4)
(9 + 3X + (3X + X2)) + 3 = (X + -4)(X + -4)

Combine like terms: 3X + 3X = 6X
(9 + 6X + X2) + 3 = (X + -4)(X + -4)

Reorder the terms:
9 + 3 + 6X + X2 = (X + -4)(X + -4)

Combine like terms: 9 + 3 = 12
12 + 6X + X2 = (X + -4)(X + -4)

Reorder the terms:
12 + 6X + X2 = (-4 + X)(X + -4)

Reorder the terms:
12 + 6X + X2 = (-4 + X)(-4 + X)

Multiply (-4 + X) * (-4 + X)
12 + 6X + X2 = (-4(-4 + X) + X(-4 + X))
12 + 6X + X2 = ((-4 * -4 + X * -4) + X(-4 + X))
12 + 6X + X2 = ((16 + -4X) + X(-4 + X))
12 + 6X + X2 = (16 + -4X + (-4 * X + X * X))
12 + 6X + X2 = (16 + -4X + (-4X + X2))

Combine like terms: -4X + -4X = -8X
12 + 6X + X2 = (16 + -8X + X2)

Add '-1X2' to each side of the equation.
12 + 6X + X2 + -1X2 = 16 + -8X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
12 + 6X + 0 = 16 + -8X + X2 + -1X2
12 + 6X = 16 + -8X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
12 + 6X = 16 + -8X + 0
12 + 6X = 16 + -8X

Solving
12 + 6X = 16 + -8X

Solving for variable 'X'.

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

Add '8X' to each side of the equation.
12 + 6X + 8X = 16 + -8X + 8X

Combine like terms: 6X + 8X = 14X
12 + 14X = 16 + -8X + 8X

Combine like terms: -8X + 8X = 0
12 + 14X = 16 + 0
12 + 14X = 16

Add '-12' to each side of the equation.
12 + -12 + 14X = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 14X = 16 + -12
14X = 16 + -12

Combine like terms: 16 + -12 = 4
14X = 4

Divide each side by '14'.
X = 0.2857142857

Simplifying
X = 0.2857142857

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