(3y-1)(4y+7)=

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Solution for (3y-1)(4y+7)= equation: 


Simplifying
(3y + -1)(4y + 7) = 0

Reorder the terms:
(-1 + 3y)(4y + 7) = 0

Reorder the terms:
(-1 + 3y)(7 + 4y) = 0

Multiply (-1 + 3y) * (7 + 4y)
(-1(7 + 4y) + 3y * (7 + 4y)) = 0
((7 * -1 + 4y * -1) + 3y * (7 + 4y)) = 0
((-7 + -4y) + 3y * (7 + 4y)) = 0
(-7 + -4y + (7 * 3y + 4y * 3y)) = 0
(-7 + -4y + (21y + 12y2)) = 0

Combine like terms: -4y + 21y = 17y
(-7 + 17y + 12y2) = 0

Solving
-7 + 17y + 12y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -4y)(1 + -3y) = 0


Subproblem 1
Set the factor '(-7 + -4y)' equal to zero and attempt to solve:

Simplifying
-7 + -4y = 0

Solving
-7 + -4y = 0

Move all terms containing y to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -4y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4y = 0 + 7
-4y = 0 + 7

Combine like terms: 0 + 7 = 7
-4y = 7

Divide each side by '-4'.
y = -1.75

Simplifying
y = -1.75

Subproblem 2
Set the factor '(1 + -3y)' equal to zero and attempt to solve:

Simplifying
1 + -3y = 0

Solving
1 + -3y = 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 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Solution
y = {-1.75, 0.3333333333}

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