Solve x^3-6x^2+3x+10=0

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Example problems

Type your math problem... x^3-6x^2+3x+10=0

Question

x^{3} - 6 x^{2} + 3 x + 10 = 0

Solve the equation

x_{1} = - 1, x_{2} = 2, x_{3} = 5

Evaluate

x^{3} - 6 x^{2} + 3 x + 10 = 0

Factor the expression

(x - 5) (x - 2) (x + 1) = 0

Separate the equation into 3 possible cases

x - 5 = 0 x - 2 = 0 x + 1 = 0

Solve the equation

More Steps

Evaluate

x - 5 = 0

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

x = 0 + 5

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

x = 5

x = 5 x - 2 = 0 x + 1 = 0

Solve the equation

More Steps

Evaluate

x - 2 = 0

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

x = 0 + 2

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

x = 2

x = 5 x = 2 x + 1 = 0

Solve the equation

More Steps

Evaluate

x + 1 = 0

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

x = 0 - 1

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

x = - 1

x = 5 x = 2 x = - 1

Solution

x_{1} = - 1, x_{2} = 2, x_{3} = 5

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