(10y+7)(y-5)=

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Solution for (10y+7)(y-5)= equation: 


Simplifying
(10y + 7)(y + -5) = 0

Reorder the terms:
(7 + 10y)(y + -5) = 0

Reorder the terms:
(7 + 10y)(-5 + y) = 0

Multiply (7 + 10y) * (-5 + y)
(7(-5 + y) + 10y * (-5 + y)) = 0
((-5 * 7 + y * 7) + 10y * (-5 + y)) = 0
((-35 + 7y) + 10y * (-5 + y)) = 0
(-35 + 7y + (-5 * 10y + y * 10y)) = 0
(-35 + 7y + (-50y + 10y2)) = 0

Combine like terms: 7y + -50y = -43y
(-35 + -43y + 10y2) = 0

Solving
-35 + -43y + 10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -10y)(5 + -1y) = 0


Subproblem 1
Set the factor '(-7 + -10y)' equal to zero and attempt to solve:

Simplifying
-7 + -10y = 0

Solving
-7 + -10y = 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 + -10y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10y = 0 + 7
-10y = 0 + 7

Combine like terms: 0 + 7 = 7
-10y = 7

Divide each side by '-10'.
y = -0.7

Simplifying
y = -0.7

Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-0.7, 5}

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