Solve x(x-3)=5x 10

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Type your math problem... x(x-3)=5x 10

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = 0, x_{2} = 53

Evaluate

x (x - 3) = 5 x \times 10

Multiply the terms

x (x - 3) = 50 x

Expand the expression

More Steps

Evaluate

x (x - 3)

Apply the distributive property

x \times x - x \times 3

Multiply the terms

x^{2} - x \times 3

Use the commutative property to reorder the terms

x^{2} - 3 x

x^{2} - 3 x = 50 x

Move the expression to the left side

x^{2} - 53 x = 0

Factor the expression

More Steps

Evaluate

x^{2} - 53 x

Rewrite the expression

x \times x - x \times 53

Factor out x from the expression

x (x - 53)

x (x - 53) = 0

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

x - 53 = 0 x = 0

Solve the equation for x

More Steps

Evaluate

x - 53 = 0

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

x = 0 + 53

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

x = 53

x = 53 x = 0

Solution

x_{1} = 0, x_{2} = 53

Show Solution

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