(7-y)(4y+9)=0

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Solution for (7-y)(4y+9)=0 equation: 


Simplifying
(7 + -1y)(4y + 9) = 0

Reorder the terms:
(7 + -1y)(9 + 4y) = 0

Multiply (7 + -1y) * (9 + 4y)
(7(9 + 4y) + -1y * (9 + 4y)) = 0
((9 * 7 + 4y * 7) + -1y * (9 + 4y)) = 0
((63 + 28y) + -1y * (9 + 4y)) = 0
(63 + 28y + (9 * -1y + 4y * -1y)) = 0
(63 + 28y + (-9y + -4y2)) = 0

Combine like terms: 28y + -9y = 19y
(63 + 19y + -4y2) = 0

Solving
63 + 19y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -1y)(9 + 4y) = 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 '(9 + 4y)' equal to zero and attempt to solve:

Simplifying
9 + 4y = 0

Solving
9 + 4y = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4y = 0 + -9
4y = 0 + -9

Combine like terms: 0 + -9 = -9
4y = -9

Divide each side by '4'.
y = -2.25

Simplifying
y = -2.25
Solution
y = {7, -2.25}

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