Solve 18y^2-35y 12=0

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Type your math problem... 18y^2-35y 12=0

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

y_{1} = 0, y_{2} = \frac{70}{3}

Alternative Form

y_{1} = 0, y_{2} = 23. \dot{3}

Evaluate

18 y^{2} - 35 y \times 12 = 0

Multiply the terms

18 y^{2} - 420 y = 0

Factor the expression

More Steps

Evaluate

18 y^{2} - 420 y

Rewrite the expression

6 y \times 3 y - 6 y \times 70

Factor out 6 y from the expression

6 y (3 y - 70)

6 y (3 y - 70) = 0

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

3 y - 70 = 0 6 y = 0

Solve the equation for y

More Steps

Evaluate

3 y - 70 = 0

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

3 y = 0 + 70

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

3 y = 70

Divide both sides

\frac{3 y}{3} = \frac{70}{3}

Divide the numbers

y = \frac{70}{3}

y = \frac{70}{3} 6 y = 0

Solve the equation for y

y = \frac{70}{3} y = 0

Solution

y_{1} = 0, y_{2} = \frac{70}{3}

Alternative Form

y_{1} = 0, y_{2} = 23. \dot{3}

Show Solution

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