Solve for x 4x+3x^2-x+2=38

Problem

4*x+3*x2−x+2=38

Solution

1. Combine like terms on the left side of the equation by adding 4*x and −x

3*x2+3*x+2=38

2. Subtract 38 from both sides to set the quadratic equation to zero.

3*x2+3*x−36=0

3. Divide by the common factor of 3 to simplify the equation.

x2+x−12=0

4. Factor the quadratic expression by finding two numbers that multiply to −12 and add to 1

(x+4)*(x−3)=0

5. Apply the Zero Product Property by setting each factor equal to zero and solving for x

x+4=0⇒x=−4

x−3=0⇒x=3

Final Answer

x=−4,3

Want more problems? Check here!