Answer:
Simplifying
2x(3x + -8) = 0
Reorder the terms:
2x(-8 + 3x) = 0
(-8 * 2x + 3x * 2x) = 0
(-16x + 6x2) = 0
Solving
-16x + 6x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2x'.
2x(-8 + 3x) = 0
Ignore the factor 2.
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 '(-8 + 3x)' equal to zero and attempt to solve:
Simplifying
-8 + 3x = 0
Solving
-8 + 3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3x = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 3x = 0 + 8
3x = 0 + 8
Combine like terms: 0 + 8 = 8
3x = 8
Divide each side by '3'.
x = 2.666666667
Simplifying
x = 2.666666667
Solution
x = {0, 2.666666667}
Step-by-step explanation:
