Solve 45x^2 = 60x

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Type your math problem... 45x^2 = 60x

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = 0, x_{2} = \frac{4}{3}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{3}

Evaluate

45 x^{2} = 60 x

Move the expression to the left side

45 x^{2} - 60 x = 0

Factor the expression

More Steps

Evaluate

45 x^{2} - 60 x

Rewrite the expression

15 x \times 3 x - 15 x \times 4

Factor out 15 x from the expression

15 x (3 x - 4)

15 x (3 x - 4) = 0

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

3 x - 4 = 0 15 x = 0

Solve the equation for x

More Steps

Evaluate

3 x - 4 = 0

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

3 x = 0 + 4

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

3 x = 4

Divide both sides

\frac{3 x}{3} = \frac{4}{3}

Divide the numbers

x = \frac{4}{3}

x = \frac{4}{3} 15 x = 0

Solve the equation for x

x = \frac{4}{3} x = 0

Solution

x_{1} = 0, x_{2} = \frac{4}{3}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{3}

Show Solution

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