Solve 3(x-2)^2 = 12

Evaluate

3 (x - 2)^{2} = 12

Expand the expression

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3 x^{2} - 12 x + 12 = 12

Move the expression to the left side

3 x^{2} - 12 x = 0

Factor the expression

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3 x (x - 4) = 0

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

x - 4 = 0 3 x = 0

Solve the equation for x

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x = 4 3 x = 0

Solve the equation for x

x = 4 x = 0

Solution

x_{1} = 0, x_{2} = 4

Solve the quadratic equation