(7y+4)(4y+7)=

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


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

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

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

Multiply (4 + 7y) * (7 + 4y)
(4(7 + 4y) + 7y * (7 + 4y)) = 0
((7 * 4 + 4y * 4) + 7y * (7 + 4y)) = 0
((28 + 16y) + 7y * (7 + 4y)) = 0
(28 + 16y + (7 * 7y + 4y * 7y)) = 0
(28 + 16y + (49y + 28y2)) = 0

Combine like terms: 16y + 49y = 65y
(28 + 65y + 28y2) = 0

Solving
28 + 65y + 28y2 = 0

Solving for variable 'y'.

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


Subproblem 1
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

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

Simplifying
4 + 7y = 0

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

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

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

Divide each side by '7'.
y = -0.5714285714

Simplifying
y = -0.5714285714
Solution
y = {-1.75, -0.5714285714}

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