(5y+7)(y-4)=

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Solution for (5y+7)(y-4)= equation: 


Simplifying
(5y + 7)(y + -4) = 0

Reorder the terms:
(7 + 5y)(y + -4) = 0

Reorder the terms:
(7 + 5y)(-4 + y) = 0

Multiply (7 + 5y) * (-4 + y)
(7(-4 + y) + 5y * (-4 + y)) = 0
((-4 * 7 + y * 7) + 5y * (-4 + y)) = 0
((-28 + 7y) + 5y * (-4 + y)) = 0
(-28 + 7y + (-4 * 5y + y * 5y)) = 0
(-28 + 7y + (-20y + 5y2)) = 0

Combine like terms: 7y + -20y = -13y
(-28 + -13y + 5y2) = 0

Solving
-28 + -13y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -5y)(4 + -1y) = 0


Subproblem 1
Set the factor '(-7 + -5y)' equal to zero and attempt to solve:

Simplifying
-7 + -5y = 0

Solving
-7 + -5y = 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 + -5y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5y = 0 + 7
-5y = 0 + 7

Combine like terms: 0 + 7 = 7
-5y = 7

Divide each side by '-5'.
y = -1.4

Simplifying
y = -1.4

Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-1.4, 4}

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