Solve x^2/3=-x/32

Evaluate

\frac{x ^{2}}{3} = - \frac{x}{32}

Multiply both sides of the equation by LCD

\frac{x ^{2}}{3} \times 96 = - \frac{x}{32} \times 96

Simplify the equation

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32 x^{2} = - \frac{x}{32} \times 96

Simplify the equation

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32 x^{2} = - 3 x

Move the expression to the left side

32 x^{2} + 3 x = 0

Factor the expression

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x (32 x + 3) = 0

When the product of factors equals 0,at least one factor is 0

x = 0 32 x + 3 = 0

Solve the equation for x

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x = 0 x = - \frac{3}{32}

Solution

x_{1} = - \frac{3}{32}, x_{2} = 0

Alternative Form

x_{1} = - 0.09375, x_{2} = 0

Solve the quadratic equation