Solve x^3 - x^2 - 4x^4 = 0

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Example problems

Type your math problem... x^3 - x^2 - 4x^4 = 0

Question

Solve the equation

x = 0

Evaluate

x^{3} - x^{2} - 4 x^{4} = 0

Factor the expression

x^{2} (x - 1 - 4 x^{2}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 x - 1 - 4 x^{2} = 0

The only way a power can be 0 is when the base equals 0

x = 0 x - 1 - 4 x^{2} = 0

Solve the equation

More Steps

Evaluate

x - 1 - 4 x^{2} = 0

Rewrite in standard form

- 4 x^{2} + x - 1 = 0

Multiply both sides

4 x^{2} - x + 1 = 0

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

x = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 4}{2 \times 4}

Simplify the expression

x = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 4}{8}

Simplify the expression

More Steps

Evaluate

(- 1)^{2} - 4 \times 4

Evaluate the power

1 - 4 \times 4

Multiply the numbers

1 - 16

Subtract the numbers

- 15

x = \frac{1 \pm - 15}{8}

The expression is undefined in the set of real numbers

x \in / R

x = 0 x \in / R

Solution

x = 0

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