(2y+5)(3y-7)=0

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Solution for (2y+5)(3y-7)=0 equation: 


Simplifying
(2y + 5)(3y + -7) = 0

Reorder the terms:
(5 + 2y)(3y + -7) = 0

Reorder the terms:
(5 + 2y)(-7 + 3y) = 0

Multiply (5 + 2y) * (-7 + 3y)
(5(-7 + 3y) + 2y * (-7 + 3y)) = 0
((-7 * 5 + 3y * 5) + 2y * (-7 + 3y)) = 0
((-35 + 15y) + 2y * (-7 + 3y)) = 0
(-35 + 15y + (-7 * 2y + 3y * 2y)) = 0
(-35 + 15y + (-14y + 6y2)) = 0

Combine like terms: 15y + -14y = 1y
(-35 + 1y + 6y2) = 0

Solving
-35 + 1y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -2y)(7 + -3y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve:

Simplifying
7 + -3y = 0

Solving
7 + -3y = 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 + -3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 0 + -7
-3y = 0 + -7

Combine like terms: 0 + -7 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333
Solution
y = {-2.5, 2.333333333}

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