(y-4)(y+7)=

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


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

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

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

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

Combine like terms: -4y + 7y = 3y
(-28 + 3y + y2) = 0

Solving
-28 + 3y + y2 = 0

Solving for variable 'y'.

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


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

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 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 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7

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 = {-7, 4}

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