It's a distributive problem and I don't know what to do first. Please help me
What do I do first in this problem? 4x(6x+6)=38
Step 1: Distribute 24x2 + 24x = 38
Step 2: Get rid of coefficient in front of x2, so factoring is easier.
x2 + x = 38/24
Step 3: Reduce the fraction on the right side.
x2 + x = 19/12
Step 4: Complete the square on the left side.
x2 + x + 1/4 = 19/12 + 1/4
Step 5: factor the equation on the left and reduce the numerical expression on the right.
(x + 1/2)2 = 22/12
Step 6: In order to solve for x, take the square root of the number on the right side.
(x + 1/2) = (plus or minus) sqrt (22/12)
Step 7: x = 1/6 (-3 - sqrt(66))
x = 1/6 (sqrt(66) - 3)
First you have to distribute the 6x to the 4x+4 to get.
Since there are no easy factors, we'll need to proceed with the completing square method.
First divide both sides by 24
Then complete the square on left
(x+1/2)^2 - 1/4 = 38/24
(x+1/2)^2 = 44/24
x+1/2 = +- 44/24
x = -1/2 +- 11/6