Solve 3x = 15x^2 - ScanMath

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Type your math problem... 3x = 15x^2

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

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

Alternative Form

x_{1} = 0, x_{2} = 0.2

Evaluate

3 x = 15 x^{2}

Swap the sides

15 x^{2} = 3 x

Move the expression to the left side

15 x^{2} - 3 x = 0

Factor the expression

More Steps

Evaluate

15 x^{2} - 3 x

Rewrite the expression

3 x \times 5 x - 3 x

Factor out 3 x from the expression

3 x (5 x - 1)

3 x (5 x - 1) = 0

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

5 x - 1 = 0 3 x = 0

Solve the equation for x

More Steps

Evaluate

5 x - 1 = 0

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

5 x = 0 + 1

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

5 x = 1

Divide both sides

\frac{5 x}{5} = \frac{1}{5}

Divide the numbers

x = \frac{1}{5}

x = \frac{1}{5} 3 x = 0

Solve the equation for x

x = \frac{1}{5} x = 0

Solution

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

Alternative Form

x_{1} = 0, x_{2} = 0.2

Show Solution

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