x^3-3x^2-16x-48=(x+4)(x-4)(x-3)

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Solution for x^3-3x^2-16x-48=(x+4)(x-4)(x-3) equation: 


Simplifying
x3 + -3x2 + -16x + -48 = (x + 4)(x + -4)(x + -3)

Reorder the terms:
-48 + -16x + -3x2 + x3 = (x + 4)(x + -4)(x + -3)

Reorder the terms:
-48 + -16x + -3x2 + x3 = (4 + x)(x + -4)(x + -3)

Reorder the terms:
-48 + -16x + -3x2 + x3 = (4 + x)(-4 + x)(x + -3)

Reorder the terms:
-48 + -16x + -3x2 + x3 = (4 + x)(-4 + x)(-3 + x)

Multiply (4 + x) * (-4 + x)
-48 + -16x + -3x2 + x3 = (4(-4 + x) + x(-4 + x))(-3 + x)
-48 + -16x + -3x2 + x3 = ((-4 * 4 + x * 4) + x(-4 + x))(-3 + x)
-48 + -16x + -3x2 + x3 = ((-16 + 4x) + x(-4 + x))(-3 + x)
-48 + -16x + -3x2 + x3 = (-16 + 4x + (-4 * x + x * x))(-3 + x)
-48 + -16x + -3x2 + x3 = (-16 + 4x + (-4x + x2))(-3 + x)

Combine like terms: 4x + -4x = 0
-48 + -16x + -3x2 + x3 = (-16 + 0 + x2)(-3 + x)
-48 + -16x + -3x2 + x3 = (-16 + x2)(-3 + x)

Multiply (-16 + x2) * (-3 + x)
-48 + -16x + -3x2 + x3 = (-16(-3 + x) + x2(-3 + x))
-48 + -16x + -3x2 + x3 = ((-3 * -16 + x * -16) + x2(-3 + x))
-48 + -16x + -3x2 + x3 = ((48 + -16x) + x2(-3 + x))
-48 + -16x + -3x2 + x3 = (48 + -16x + (-3 * x2 + x * x2))
-48 + -16x + -3x2 + x3 = (48 + -16x + (-3x2 + x3))
-48 + -16x + -3x2 + x3 = (48 + -16x + -3x2 + x3)

Add '16x' to each side of the equation.
-48 + -16x + -3x2 + 16x + x3 = 48 + -16x + -3x2 + 16x + x3

Reorder the terms:
-48 + -16x + 16x + -3x2 + x3 = 48 + -16x + -3x2 + 16x + x3

Combine like terms: -16x + 16x = 0
-48 + 0 + -3x2 + x3 = 48 + -16x + -3x2 + 16x + x3
-48 + -3x2 + x3 = 48 + -16x + -3x2 + 16x + x3

Reorder the terms:
-48 + -3x2 + x3 = 48 + -16x + 16x + -3x2 + x3

Combine like terms: -16x + 16x = 0
-48 + -3x2 + x3 = 48 + 0 + -3x2 + x3
-48 + -3x2 + x3 = 48 + -3x2 + x3

Add '3x2' to each side of the equation.
-48 + -3x2 + 3x2 + x3 = 48 + -3x2 + 3x2 + x3

Combine like terms: -3x2 + 3x2 = 0
-48 + 0 + x3 = 48 + -3x2 + 3x2 + x3
-48 + x3 = 48 + -3x2 + 3x2 + x3

Combine like terms: -3x2 + 3x2 = 0
-48 + x3 = 48 + 0 + x3
-48 + x3 = 48 + x3

Add '-1x3' to each side of the equation.
-48 + x3 + -1x3 = 48 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-48 + 0 = 48 + x3 + -1x3
-48 = 48 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-48 = 48 + 0
-48 = 48

Solving
-48 = 48

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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