Solve for x 3x^2-12x+9=0

Problem

3*x2−12*x+9=0

Solution

1. Divide the entire equation by the greatest common factor, which is 3 to simplify the coefficients.

x2−4*x+3=0

2. Identify two numbers that multiply to the constant term 3 and add up to the linear coefficient −4

−3×−1=3

−3+(−1)=−4

3. Factor the quadratic expression using the numbers found in the previous step.

(x−3)*(x−1)=0

4. Apply the zero product property by setting each individual factor equal to zero.

x−3=0

x−1=0

5. Solve each linear equation for x

x=3

x=1

Final Answer

x=1,3

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