(5y+4)(7+y)=0

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Solution for (5y+4)(7+y)=0 equation:


Simplifying
(5y + 4)(7 + y) = 0

Reorder the terms:
(4 + 5y)(7 + y) = 0

Multiply (4 + 5y) * (7 + y)
(4(7 + y) + 5y * (7 + y)) = 0
((7 * 4 + y * 4) + 5y * (7 + y)) = 0
((28 + 4y) + 5y * (7 + y)) = 0
(28 + 4y + (7 * 5y + y * 5y)) = 0
(28 + 4y + (35y + 5y2)) = 0

Combine like terms: 4y + 35y = 39y
(28 + 39y + 5y2) = 0

Solving
28 + 39y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + y)(4 + 5y) = 0

Subproblem 1

Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 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 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7

Subproblem 2

Set the factor '(4 + 5y)' equal to zero and attempt to solve: Simplifying 4 + 5y = 0 Solving 4 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 0 + -4 5y = 0 + -4 Combine like terms: 0 + -4 = -4 5y = -4 Divide each side by '5'. y = -0.8 Simplifying y = -0.8

Solution

y = {-7, -0.8}

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