X+(x+3)(x-3)=3+x(x-1)

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Solution for X+(x+3)(x-3)=3+x(x-1) equation:


Simplifying
X + (x + 3)(x + -3) = 3 + x(x + -1)

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

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

Multiply (3 + x) * (-3 + x)
X + (3(-3 + x) + x(-3 + x)) = 3 + x(x + -1)
X + ((-3 * 3 + x * 3) + x(-3 + x)) = 3 + x(x + -1)
X + ((-9 + 3x) + x(-3 + x)) = 3 + x(x + -1)
X + (-9 + 3x + (-3 * x + x * x)) = 3 + x(x + -1)
X + (-9 + 3x + (-3x + x2)) = 3 + x(x + -1)

Combine like terms: 3x + -3x = 0
X + (-9 + 0 + x2) = 3 + x(x + -1)
X + (-9 + x2) = 3 + x(x + -1)

Reorder the terms:
-9 + X + x2 = 3 + x(x + -1)

Reorder the terms:
-9 + X + x2 = 3 + x(-1 + x)
-9 + X + x2 = 3 + (-1 * x + x * x)
-9 + X + x2 = 3 + (-1x + x2)

Add '-1x2' to each side of the equation.
-9 + X + x2 + -1x2 = 3 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + X + 0 = 3 + -1x + x2 + -1x2
-9 + X = 3 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + X = 3 + -1x + 0
-9 + X = 3 + -1x

Solving
-9 + X = 3 + -1x

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + 9 + X = 3 + 9 + -1x

Combine like terms: -9 + 9 = 0
0 + X = 3 + 9 + -1x
X = 3 + 9 + -1x

Combine like terms: 3 + 9 = 12
X = 12 + -1x

Simplifying
X = 12 + -1x

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