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

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Example problems

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

Question

Solve the equation

x_{1} = 0, x_{2} = \frac{5}{3}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{6}

Evaluate

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

Subtract the terms

More Steps

Evaluate

- 2 x^{2} - 3 x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 2 - 3) x^{2}

Subtract the numbers

- 5 x^{2}

3 x^{3} - 5 x^{2} = 0

Factor the expression

x^{2} (3 x - 5) = 0

Separate the equation into 2 possible cases

x^{2} = 0 3 x - 5 = 0

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

x = 0 3 x - 5 = 0

Solve the equation

More Steps

Evaluate

3 x - 5 = 0

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

3 x = 0 + 5

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

3 x = 5

Divide both sides

\frac{3 x}{3} = \frac{5}{3}

Divide the numbers

x = \frac{5}{3}

x = 0 x = \frac{5}{3}

Solution

x_{1} = 0, x_{2} = \frac{5}{3}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{6}

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