Answer:Simplifying
(2y + -1)(4y + -3) = 0
Reorder the terms:
(-1 + 2y)(4y + -3) = 0
Reorder the terms:
(-1 + 2y)(-3 + 4y) = 0
Multiply (-1 + 2y) * (-3 + 4y)
(-1(-3 + 4y) + 2y * (-3 + 4y)) = 0
((-3 * -1 + 4y * -1) + 2y * (-3 + 4y)) = 0
((3 + -4y) + 2y * (-3 + 4y)) = 0
(3 + -4y + (-3 * 2y + 4y * 2y)) = 0
(3 + -4y + (-6y + 8y2)) = 0
Combine like terms: -4y + -6y = -10y
(3 + -10y + 8y2) = 0
Solving
3 + -10y + 8y2 = 0
Solving for variable 'y'.
Factor a trinomial.
(1 + -2y)(3 + -4y) = 0
Subproblem 1
Set the factor '(1 + -2y)' equal to zero and attempt to solve:
Simplifying
1 + -2y = 0
Solving
1 + -2y = 0
Move all terms containing y to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2y = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1
Combine like terms: 0 + -1 = -1
-2y = -1
Divide each side by '-2'.
y = 0.5
Simplifying
y = 0.5
Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve:
Simplifying
3 + -4y = 0
Solving
3 + -4y = 0
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -4y = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3
Combine like terms: 0 + -3 = -3
-4y = -3
Divide each side by '-4'.
y = 0.75
Simplifying
y = 0.75
Solution
y = {0.5, 0.75}
Step-by-step explanation:
