Answer:
y = -1/3 = -0.333
y = 0
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(0 - (2•3y2)) - 2y = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-6y2 - 2y = -2y • (3y + 1)
Equation at the end of step
3
:
-2y • (3y + 1) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.2 Solve : -2y = 0
Multiply both sides of the equation by (-1) : 2y = 0
Divide both sides of the equation by 2:
y = 0
Solving a Single Variable Equation:
4.3 Solve : 3y+1 = 0
Subtract 1 from both sides of the equation :
3y = -1
Divide both sides of the equation by 3:
y = -1/3 = -0.333
Two solutions were found :
y = -1/3 = -0.333
y = 0