(7y+26)(4y+7)=0

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Solution for (7y+26)(4y+7)=0 equation: 


Simplifying
(7y + 26)(4y + 7) = 0

Reorder the terms:
(26 + 7y)(4y + 7) = 0

Reorder the terms:
(26 + 7y)(7 + 4y) = 0

Multiply (26 + 7y) * (7 + 4y)
(26(7 + 4y) + 7y * (7 + 4y)) = 0
((7 * 26 + 4y * 26) + 7y * (7 + 4y)) = 0
((182 + 104y) + 7y * (7 + 4y)) = 0
(182 + 104y + (7 * 7y + 4y * 7y)) = 0
(182 + 104y + (49y + 28y2)) = 0

Combine like terms: 104y + 49y = 153y
(182 + 153y + 28y2) = 0

Solving
182 + 153y + 28y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(26 + 7y)(7 + 4y) = 0


Subproblem 1
Set the factor '(26 + 7y)' equal to zero and attempt to solve:

Simplifying
26 + 7y = 0

Solving
26 + 7y = 0

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

Add '-26' to each side of the equation.
26 + -26 + 7y = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 7y = 0 + -26
7y = 0 + -26

Combine like terms: 0 + -26 = -26
7y = -26

Divide each side by '7'.
y = -3.714285714

Simplifying
y = -3.714285714

Subproblem 2
Set the factor '(7 + 4y)' equal to zero and attempt to solve:

Simplifying
7 + 4y = 0

Solving
7 + 4y = 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 + 4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = 0 + -7
4y = 0 + -7

Combine like terms: 0 + -7 = -7
4y = -7

Divide each side by '4'.
y = -1.75

Simplifying
y = -1.75
Solution
y = {-3.714285714, -1.75}

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