Solve for x 12x^2-12=0

Problem

12*x2−12=0

Solution

1. Factor out the greatest common factor, which is 12 from the left side of the equation.

12*(x2−1)=0

2. Divide both sides by 12 to isolate the quadratic expression.

x2−1=0

3. Factor the difference of squares on the left side.

(x−1)*(x+1)=0

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

x−1=0

x+1=0

5. Solve for x in each linear equation.

x=1

x=−1

Final Answer

x=±1

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