Answer:
X = {0, -1.166666667}
Step-by-step explanation:
Simplifying
8X(6X + 7) = 0
Reorder the terms:
8X(7 + 6X) = 0
(7 * 8X + 6X * 8X) = 0
(56X + 48X2) = 0
Solving
56X + 48X2 = 0
Solving for variable 'X'.
Factor out the Greatest Common Factor (GCF), '8X'.
8X(7 + 6X) = 0
Ignore the factor 8.
Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:
Simplifying
X = 0
Solving
X = 0
Move all terms containing X to the left, all other terms to the right.
Simplifying
X = 0
Subproblem 2
Set the factor '(7 + 6X)' equal to zero and attempt to solve:
Simplifying
7 + 6X = 0
Solving
7 + 6X = 0
Move all terms containing X to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 6X = 0 + -7
Combine like terms: 7 + -7 = 0
0 + 6X = 0 + -7
6X = 0 + -7
Combine like terms: 0 + -7 = -7
6X = -7
Divide each side by '6'.
X = -1.166666667
Simplifying
X = -1.166666667
Don't get mad if it is wrong I had to do the math fast.
