Solve x^6=-(4x^3)3

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Example problems

Type your math problem... x^6=-(4x^3)3

Question

Solve the equation

x_{1} = - 312, x_{2} = 0

Alternative Form

x_{1} \approx - 2.289428, x_{2} = 0

Evaluate

x^{6} = - 4 x^{3} \times 3

Multiply the numbers

x^{6} = - 12 x^{3}

Move the expression to the left side

x^{6} - (- 12 x^{3}) = 0

Add or subtract both sides

x^{6} + 12 x^{3} = 0

Factor the expression

x^{3} (x^{3} + 12) = 0

Separate the equation into 2 possible cases

x^{3} = 0 x^{3} + 12 = 0

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

x = 0 x^{3} + 12 = 0

Solve the equation

More Steps

Evaluate

x^{3} + 12 = 0

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

x^{3} = 0 - 12

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

x^{3} = - 12

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 - 12

Calculate

x = 3 - 12

An odd root of a negative radicand is always a negative

x = - 312

x = 0 x = - 312

Solution

x_{1} = - 312, x_{2} = 0

Alternative Form

x_{1} \approx - 2.289428, x_{2} = 0

Show Solution

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