Question

Find the value of x.(4x - 20) = (2x + 30)
a. x= -5
b. x= 5
c. x= 3
d. x= -3

Answer 1

To find the value of x, we need to solve the given quadratic equation step by step.

Step-by-step explanation:

To find the value of x, we need to solve the equation (4x - 20) = (2x + 30) for x. Here are the steps:

1. Start by simplifying both sides of the equation. Combine like terms on the left side and right side separately.
2. Next, move all the x terms to one side of the equation and all the constant terms to the other side.
3. Combine like terms again to get a quadratic equation, in the form ax^2 + bx + c = 0.
4. Use the quadratic formula to solve for x: x = (-b ± √(b^2 - 4ac))/(2a)
5. Plug in the values of a, b, and c from the quadratic equation into the quadratic formula.
6. Simplify and solve for x. You will get two possible values of x.

The correct answer is x = 3 (Option c).