Solve 5(x-3)^(2)=45

Evaluate

5 (x - 3)^{2} = 45

Expand the expression

More Steps

5 x^{2} - 30 x + 45 = 45

Move the expression to the left side

5 x^{2} - 30 x = 0

Factor the expression

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5 x (x - 6) = 0

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

x - 6 = 0 5 x = 0

Solve the equation for x

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x = 6 5 x = 0

Solve the equation for x

x = 6 x = 0

Solution

x_{1} = 0, x_{2} = 6

Solve the quadratic equation