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

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


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

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

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

Combine like terms: 9y + 28y = 37y
(-63 + 37y + -4y2) = 0

Solving
-63 + 37y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + y)(9 + -4y) = 0


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

Simplifying
-7 + y = 0

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

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

Combine like terms: 0 + 7 = 7
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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