Solve 5x^3 = -8x^29

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

5 x^{3} + 72 x^{2} = 0

Factor the expression

x^{2} (5 x + 72) = 0

Separate the equation into 2 possible cases

x^{2} = 0 5 x + 72 = 0

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

x = 0 5 x + 72 = 0

Solve the equation

More Steps

Evaluate

5 x + 72 = 0

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

5 x = 0 - 72

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

5 x = - 72

Divide both sides

\frac{5 x}{5} = \frac{- 72}{5}

Divide the numbers

x = \frac{- 72}{5}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = - \frac{72}{5}

x = 0 x = - \frac{72}{5}

Solution

x_{1} = - \frac{72}{5}, x_{2} = 0

Alternative Form

x_{1} = - 14.4, x_{2} = 0

Show Solution

Graph

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