Y^2(x+5)+3x(x+5)-28(x+5)=

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Solution for Y^2(x+5)+3x(x+5)-28(x+5)= equation: 


Simplifying
Y2(x + 5) + 3x(x + 5) + -28(x + 5) = 0

Reorder the terms:
Y2(5 + x) + 3x(x + 5) + -28(x + 5) = 0
(5 * Y2 + x * Y2) + 3x(x + 5) + -28(x + 5) = 0
(5Y2 + xY2) + 3x(x + 5) + -28(x + 5) = 0

Reorder the terms:
5Y2 + xY2 + 3x(5 + x) + -28(x + 5) = 0
5Y2 + xY2 + (5 * 3x + x * 3x) + -28(x + 5) = 0
5Y2 + xY2 + (15x + 3x2) + -28(x + 5) = 0

Reorder the terms:
5Y2 + xY2 + 15x + 3x2 + -28(5 + x) = 0
5Y2 + xY2 + 15x + 3x2 + (5 * -28 + x * -28) = 0
5Y2 + xY2 + 15x + 3x2 + (-140 + -28x) = 0

Reorder the terms:
-140 + 5Y2 + 15x + -28x + xY2 + 3x2 = 0

Combine like terms: 15x + -28x = -13x
-140 + 5Y2 + -13x + xY2 + 3x2 = 0

Solving
-140 + 5Y2 + -13x + xY2 + 3x2 = 0

Solving for variable 'Y'.

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

Add '140' to each side of the equation.
-140 + 5Y2 + -13x + xY2 + 140 + 3x2 = 0 + 140

Reorder the terms:
-140 + 140 + 5Y2 + -13x + xY2 + 3x2 = 0 + 140

Combine like terms: -140 + 140 = 0
0 + 5Y2 + -13x + xY2 + 3x2 = 0 + 140
5Y2 + -13x + xY2 + 3x2 = 0 + 140

Combine like terms: 0 + 140 = 140
5Y2 + -13x + xY2 + 3x2 = 140

Add '13x' to each side of the equation.
5Y2 + -13x + xY2 + 13x + 3x2 = 140 + 13x

Reorder the terms:
5Y2 + -13x + 13x + xY2 + 3x2 = 140 + 13x

Combine like terms: -13x + 13x = 0
5Y2 + 0 + xY2 + 3x2 = 140 + 13x
5Y2 + xY2 + 3x2 = 140 + 13x

Add '-3x2' to each side of the equation.
5Y2 + xY2 + 3x2 + -3x2 = 140 + 13x + -3x2

Combine like terms: 3x2 + -3x2 = 0
5Y2 + xY2 + 0 = 140 + 13x + -3x2
5Y2 + xY2 = 140 + 13x + -3x2

Reorder the terms:
-140 + 5Y2 + -13x + xY2 + 3x2 = 140 + 13x + -3x2 + -140 + -13x + 3x2

Reorder the terms:
-140 + 5Y2 + -13x + xY2 + 3x2 = 140 + -140 + 13x + -13x + -3x2 + 3x2

Combine like terms: 140 + -140 = 0
-140 + 5Y2 + -13x + xY2 + 3x2 = 0 + 13x + -13x + -3x2 + 3x2
-140 + 5Y2 + -13x + xY2 + 3x2 = 13x + -13x + -3x2 + 3x2

Combine like terms: 13x + -13x = 0
-140 + 5Y2 + -13x + xY2 + 3x2 = 0 + -3x2 + 3x2
-140 + 5Y2 + -13x + xY2 + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-140 + 5Y2 + -13x + xY2 + 3x2 = 0

The solution to this equation could not be determined.

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