Solve 2x^3+54=0 - ScanMath

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Type your math problem... 2x^3+54=0

Question

Solve the equation

x = - 3

Evaluate

2 x^{3} + 54 = 0

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

2 x^{3} = 0 - 54

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

2 x^{3} = - 54

Divide both sides

\frac{2 x ^{3}}{2} = \frac{- 54}{2}

Divide the numbers

x^{3} = \frac{- 54}{2}

Divide the numbers

More Steps

Evaluate

\frac{- 54}{2}

Reduce the numbers

\frac{- 27}{1}

Calculate

- 27

x^{3} = - 27

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

3 x^{3} = 3 - 27

Calculate

x = 3 - 27

Solution

More Steps

Evaluate

3 - 27

An odd root of a negative radicand is always a negative

- 327

Simplify the radical expression

More Steps

Evaluate

327

Write the number in exponential form with the base of 3

3 3^{3}

Reduce the index of the radical and exponent with 3

3

- 3

x = - 3

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