(5y-4)(2y+7)=

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Solution for (5y-4)(2y+7)= equation: 


Simplifying
(5y + -4)(2y + 7) = 0

Reorder the terms:
(-4 + 5y)(2y + 7) = 0

Reorder the terms:
(-4 + 5y)(7 + 2y) = 0

Multiply (-4 + 5y) * (7 + 2y)
(-4(7 + 2y) + 5y * (7 + 2y)) = 0
((7 * -4 + 2y * -4) + 5y * (7 + 2y)) = 0
((-28 + -8y) + 5y * (7 + 2y)) = 0
(-28 + -8y + (7 * 5y + 2y * 5y)) = 0
(-28 + -8y + (35y + 10y2)) = 0

Combine like terms: -8y + 35y = 27y
(-28 + 27y + 10y2) = 0

Solving
-28 + 27y + 10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -2y)(4 + -5y) = 0


Subproblem 1
Set the factor '(-7 + -2y)' equal to zero and attempt to solve:

Simplifying
-7 + -2y = 0

Solving
-7 + -2y = 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 + -2y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2y = 0 + 7
-2y = 0 + 7

Combine like terms: 0 + 7 = 7
-2y = 7

Divide each side by '-2'.
y = -3.5

Simplifying
y = -3.5

Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve:

Simplifying
4 + -5y = 0

Solving
4 + -5y = 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 + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = 0 + -4
-5y = 0 + -4

Combine like terms: 0 + -4 = -4
-5y = -4

Divide each side by '-5'.
y = 0.8

Simplifying
y = 0.8
Solution
y = {-3.5, 0.8}

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