(4y-8)(3y+7)=0

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Solution for (4y-8)(3y+7)=0 equation: 


Simplifying
(4y + -8)(3y + 7) = 0

Reorder the terms:
(-8 + 4y)(3y + 7) = 0

Reorder the terms:
(-8 + 4y)(7 + 3y) = 0

Multiply (-8 + 4y) * (7 + 3y)
(-8(7 + 3y) + 4y * (7 + 3y)) = 0
((7 * -8 + 3y * -8) + 4y * (7 + 3y)) = 0
((-56 + -24y) + 4y * (7 + 3y)) = 0
(-56 + -24y + (7 * 4y + 3y * 4y)) = 0
(-56 + -24y + (28y + 12y2)) = 0

Combine like terms: -24y + 28y = 4y
(-56 + 4y + 12y2) = 0

Solving
-56 + 4y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-14 + y + 3y2) = 0

Factor a trinomial.
4((-7 + -3y)(2 + -1y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -3y)' equal to zero and attempt to solve:

Simplifying
-7 + -3y = 0

Solving
-7 + -3y = 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 + -3y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3y = 0 + 7
-3y = 0 + 7

Combine like terms: 0 + 7 = 7
-3y = 7

Divide each side by '-3'.
y = -2.333333333

Simplifying
y = -2.333333333

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-2.333333333, 2}

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