(x+3)(x-3)-4x(x-1)=(1-x)(3x-1)

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Solution for (x+3)(x-3)-4x(x-1)=(1-x)(3x-1) equation: 


Simplifying
(x + 3)(x + -3) + -4x(x + -1) = (1 + -1x)(3x + -1)

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

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

Multiply (3 + x) * (-3 + x)
(3(-3 + x) + x(-3 + x)) + -4x(x + -1) = (1 + -1x)(3x + -1)
((-3 * 3 + x * 3) + x(-3 + x)) + -4x(x + -1) = (1 + -1x)(3x + -1)
((-9 + 3x) + x(-3 + x)) + -4x(x + -1) = (1 + -1x)(3x + -1)
(-9 + 3x + (-3 * x + x * x)) + -4x(x + -1) = (1 + -1x)(3x + -1)
(-9 + 3x + (-3x + x2)) + -4x(x + -1) = (1 + -1x)(3x + -1)

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) + -4x(x + -1) = (1 + -1x)(3x + -1)
(-9 + x2) + -4x(x + -1) = (1 + -1x)(3x + -1)

Reorder the terms:
-9 + x2 + -4x(-1 + x) = (1 + -1x)(3x + -1)
-9 + x2 + (-1 * -4x + x * -4x) = (1 + -1x)(3x + -1)
-9 + x2 + (4x + -4x2) = (1 + -1x)(3x + -1)

Reorder the terms:
-9 + 4x + x2 + -4x2 = (1 + -1x)(3x + -1)

Combine like terms: x2 + -4x2 = -3x2
-9 + 4x + -3x2 = (1 + -1x)(3x + -1)

Reorder the terms:
-9 + 4x + -3x2 = (1 + -1x)(-1 + 3x)

Multiply (1 + -1x) * (-1 + 3x)
-9 + 4x + -3x2 = (1(-1 + 3x) + -1x * (-1 + 3x))
-9 + 4x + -3x2 = ((-1 * 1 + 3x * 1) + -1x * (-1 + 3x))
-9 + 4x + -3x2 = ((-1 + 3x) + -1x * (-1 + 3x))
-9 + 4x + -3x2 = (-1 + 3x + (-1 * -1x + 3x * -1x))
-9 + 4x + -3x2 = (-1 + 3x + (1x + -3x2))

Combine like terms: 3x + 1x = 4x
-9 + 4x + -3x2 = (-1 + 4x + -3x2)

Add '-4x' to each side of the equation.
-9 + 4x + -4x + -3x2 = -1 + 4x + -4x + -3x2

Combine like terms: 4x + -4x = 0
-9 + 0 + -3x2 = -1 + 4x + -4x + -3x2
-9 + -3x2 = -1 + 4x + -4x + -3x2

Combine like terms: 4x + -4x = 0
-9 + -3x2 = -1 + 0 + -3x2
-9 + -3x2 = -1 + -3x2

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

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

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

Solving
-9 = -1

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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