Solve x^3 - 6 x^2 - 16 x + 96 = 0

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Type your math problem... x^3 - 6 x^2 - 16 x + 96 = 0

Question

Solve the equation

x_{1} = - 4, x_{2} = 4, x_{3} = 6

Evaluate

x^{3} - 6 x^{2} - 16 x + 96 = 0

Factor the expression

(x - 6) (x - 4) (x + 4) = 0

Separate the equation into 3 possible cases

x - 6 = 0 x - 4 = 0 x + 4 = 0

Solve the equation

More Steps

Evaluate

x - 6 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 6

Removing 0 doesn't change the value,so remove it from the expression

x = 6

x = 6 x - 4 = 0 x + 4 = 0

Solve the equation

More Steps

Evaluate

x - 4 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 4

Removing 0 doesn't change the value,so remove it from the expression

x = 4

x = 6 x = 4 x + 4 = 0

Solve the equation

More Steps

Evaluate

x + 4 = 0

Move the constant to the right-hand side and change its sign

x = 0 - 4

Removing 0 doesn't change the value,so remove it from the expression

x = - 4

x = 6 x = 4 x = - 4

Solution

x_{1} = - 4, x_{2} = 4, x_{3} = 6

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