Solve for x -3=4x^2-x-3

Problem

−3=4*x2−x−3

Solution

1. Rearrange the equation to set it to zero by adding 3 to both sides.

−3+3=4*x2−x−3+3

0=4*x2−x

2. Factor out the greatest common factor, which is x from the right side of the equation.

0=x*(4*x−1)

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

x=0

4*x−1=0

4. Solve for x in the second linear equation by adding 1 and then dividing by 4

4*x=1

x=1/4

Final Answer

−3=4*x2−x−3⇒x=0,x=1/4

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