Solve (5 x - 2)(3 - x)=0

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Type your math problem... (5 x - 2)(3 - x)=0

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = \frac{2}{5}, x_{2} = 3

Alternative Form

x_{1} = 0.4, x_{2} = 3

Evaluate

(5 x - 2) (3 - x) = 0

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

3 - x = 0 5 x - 2 = 0

Solve the equation for x

More Steps

Evaluate

3 - x = 0

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

- x = 0 - 3

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

- x = - 3

Change the signs on both sides of the equation

x = 3

x = 3 5 x - 2 = 0

Solve the equation for x

More Steps

Evaluate

5 x - 2 = 0

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

5 x = 0 + 2

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

5 x = 2

Divide both sides

\frac{5 x}{5} = \frac{2}{5}

Divide the numbers

x = \frac{2}{5}

x = 3 x = \frac{2}{5}

Solution

x_{1} = \frac{2}{5}, x_{2} = 3

Alternative Form

x_{1} = 0.4, x_{2} = 3

Show Solution

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