(7y-10)(2y-11)=0

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Solution for (7y-10)(2y-11)=0 equation: 


Simplifying
(7y + -10)(2y + -11) = 0

Reorder the terms:
(-10 + 7y)(2y + -11) = 0

Reorder the terms:
(-10 + 7y)(-11 + 2y) = 0

Multiply (-10 + 7y) * (-11 + 2y)
(-10(-11 + 2y) + 7y * (-11 + 2y)) = 0
((-11 * -10 + 2y * -10) + 7y * (-11 + 2y)) = 0
((110 + -20y) + 7y * (-11 + 2y)) = 0
(110 + -20y + (-11 * 7y + 2y * 7y)) = 0
(110 + -20y + (-77y + 14y2)) = 0

Combine like terms: -20y + -77y = -97y
(110 + -97y + 14y2) = 0

Solving
110 + -97y + 14y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(10 + -7y)(11 + -2y) = 0


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

Simplifying
10 + -7y = 0

Solving
10 + -7y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -7y = 0 + -10

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

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

Divide each side by '-7'.
y = 1.428571429

Simplifying
y = 1.428571429

Subproblem 2
Set the factor '(11 + -2y)' equal to zero and attempt to solve:

Simplifying
11 + -2y = 0

Solving
11 + -2y = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2y = 0 + -11
-2y = 0 + -11

Combine like terms: 0 + -11 = -11
-2y = -11

Divide each side by '-2'.
y = 5.5

Simplifying
y = 5.5
Solution
y = {1.428571429, 5.5}

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