The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown. 5x2 + 27x = 14 − 13x 5x2 + 40x = 14 5(x2 + 8x) = 14 which is the best step to do next to solve the equation by completing the square: 5(x2 + 8x + 16) = 30 5(x2 + 8x + 16) = 94 5(x2 + 8x + 4) = 18 5(x2 + 8x + 4) = 34

we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.

therefore

the answer is the option

step-by-step explanation:

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !