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

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


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

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

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

Multiply (7 + y) * (-5 + 2y)
(7(-5 + 2y) + y(-5 + 2y)) = 0
((-5 * 7 + 2y * 7) + y(-5 + 2y)) = 0
((-35 + 14y) + y(-5 + 2y)) = 0
(-35 + 14y + (-5 * y + 2y * y)) = 0
(-35 + 14y + (-5y + 2y2)) = 0

Combine like terms: 14y + -5y = 9y
(-35 + 9y + 2y2) = 0

Solving
-35 + 9y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(5 + -2y) = 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 '(5 + -2y)' equal to zero and attempt to solve:

Simplifying
5 + -2y = 0

Solving
5 + -2y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2y = 0 + -5
-2y = 0 + -5

Combine like terms: 0 + -5 = -5
-2y = -5

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5
Solution
y = {-7, 2.5}

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