Solve 16x^2-40x 9=0

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Type your math problem... 16x^2-40x 9=0

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = 0, x_{2} = \frac{45}{2}

Alternative Form

x_{1} = 0, x_{2} = 22.5

Evaluate

16 x^{2} - 40 x \times 9 = 0

Multiply the terms

16 x^{2} - 360 x = 0

Factor the expression

More Steps

Evaluate

16 x^{2} - 360 x

Rewrite the expression

8 x \times 2 x - 8 x \times 45

Factor out 8 x from the expression

8 x (2 x - 45)

8 x (2 x - 45) = 0

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

2 x - 45 = 0 8 x = 0

Solve the equation for x

More Steps

Evaluate

2 x - 45 = 0

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

2 x = 0 + 45

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

2 x = 45

Divide both sides

\frac{2 x}{2} = \frac{45}{2}

Divide the numbers

x = \frac{45}{2}

x = \frac{45}{2} 8 x = 0

Solve the equation for x

x = \frac{45}{2} x = 0

Solution

x_{1} = 0, x_{2} = \frac{45}{2}

Alternative Form

x_{1} = 0, x_{2} = 22.5

Show Solution

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