(26y+17)(-20y-10)=

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Solution for (26y+17)(-20y-10)= equation: 


Simplifying
(26y + 17)(-20y + -10) = 0

Reorder the terms:
(17 + 26y)(-20y + -10) = 0

Reorder the terms:
(17 + 26y)(-10 + -20y) = 0

Multiply (17 + 26y) * (-10 + -20y)
(17(-10 + -20y) + 26y * (-10 + -20y)) = 0
((-10 * 17 + -20y * 17) + 26y * (-10 + -20y)) = 0
((-170 + -340y) + 26y * (-10 + -20y)) = 0
(-170 + -340y + (-10 * 26y + -20y * 26y)) = 0
(-170 + -340y + (-260y + -520y2)) = 0

Combine like terms: -340y + -260y = -600y
(-170 + -600y + -520y2) = 0

Solving
-170 + -600y + -520y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-10'.
-10(17 + 60y + 52y2) = 0

Factor a trinomial.
-10((17 + 26y)(1 + 2y)) = 0

Ignore the factor -10.

Subproblem 1
Set the factor '(17 + 26y)' equal to zero and attempt to solve:

Simplifying
17 + 26y = 0

Solving
17 + 26y = 0

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

Add '-17' to each side of the equation.
17 + -17 + 26y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 26y = 0 + -17
26y = 0 + -17

Combine like terms: 0 + -17 = -17
26y = -17

Divide each side by '26'.
y = -0.6538461538

Simplifying
y = -0.6538461538

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

Simplifying
1 + 2y = 0

Solving
1 + 2y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5
Solution
y = {-0.6538461538, -0.5}

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