Solve x^3+x^2-80=0

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Type your math problem... x^3+x^2-80=0

Question

Solve the equation

x = 4

Evaluate

x^{3} + x^{2} - 80 = 0

Factor the expression

(x - 4) (x^{2} + 5 x + 20) = 0

Separate the equation into 2 possible cases

x - 4 = 0 x^{2} + 5 x + 20 = 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 = 4 x^{2} + 5 x + 20 = 0

Solve the equation

More Steps

Evaluate

x^{2} + 5 x + 20 = 0

Substitute a= 1,b= 5 and c= 20 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 5 \pm 5 ^{2} - 4 \times 20}{2}

Simplify the expression

More Steps

Evaluate

5^{2} - 4 \times 20

Multiply the numbers

5^{2} - 80

Evaluate the power

25 - 80

Subtract the numbers

- 55

x = \frac{- 5 \pm - 55}{2}

The expression is undefined in the set of real numbers

x \in / R

x = 4 x \in / R

Solution

x = 4

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