Solve 62x^2 - 3x = 8x^2

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Type your math problem... 62x^2 - 3x = 8x^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}{18}

Alternative Form

x_{1} = 0, x_{2} = 0.0 \dot{5}

Evaluate

62 x^{2} - 3 x = 8 x^{2}

Move the expression to the left side

54 x^{2} - 3 x = 0

Factor the expression

More Steps

Evaluate

54 x^{2} - 3 x

Rewrite the expression

3 x \times 18 x - 3 x

Factor out 3 x from the expression

3 x (18 x - 1)

3 x (18 x - 1) = 0

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

18 x - 1 = 0 3 x = 0

Solve the equation for x

More Steps

Evaluate

18 x - 1 = 0

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

18 x = 0 + 1

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

18 x = 1

Divide both sides

\frac{18 x}{18} = \frac{1}{18}

Divide the numbers

x = \frac{1}{18}

x = \frac{1}{18} 3 x = 0

Solve the equation for x

x = \frac{1}{18} x = 0

Solution

x_{1} = 0, x_{2} = \frac{1}{18}

Alternative Form

x_{1} = 0, x_{2} = 0.0 \dot{5}

Show Solution

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