Solve x(5x − 2) x 3 = 0

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Type your math problem... x(5x − 2) x 3 = 0

Question

Solve the equation

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

Alternative Form

x_{1} = 0, x_{2} = 0.4

Evaluate

x (5 x - 2) x \times 3 = 0

Multiply

More Steps

Evaluate

x (5 x - 2) x \times 3

Multiply the terms

x^{2} (5 x - 2) \times 3

Use the commutative property to reorder the terms

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

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

Elimination the left coefficient

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

Separate the equation into 2 possible cases

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

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

x = 0 5 x - 2 = 0

Solve the equation

More Steps

Evaluate

5 x - 2 = 0

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

5 x = 0 + 2

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

5 x = 2

Divide both sides

\frac{5 x}{5} = \frac{2}{5}

Divide the numbers

x = \frac{2}{5}

x = 0 x = \frac{2}{5}

Solution

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

Alternative Form

x_{1} = 0, x_{2} = 0.4

Show Solution

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