(X+5)(2x+7)-(x+5)(x-3)=

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Solution for (X+5)(2x+7)-(x+5)(x-3)= equation: 


Simplifying
(X + 5)(2x + 7) + -1(x + 5)(x + -3) = 0

Reorder the terms:
(5 + X)(2x + 7) + -1(x + 5)(x + -3) = 0

Reorder the terms:
(5 + X)(7 + 2x) + -1(x + 5)(x + -3) = 0

Multiply (5 + X) * (7 + 2x)
(5(7 + 2x) + X(7 + 2x)) + -1(x + 5)(x + -3) = 0
((7 * 5 + 2x * 5) + X(7 + 2x)) + -1(x + 5)(x + -3) = 0
((35 + 10x) + X(7 + 2x)) + -1(x + 5)(x + -3) = 0
(35 + 10x + (7 * X + 2x * X)) + -1(x + 5)(x + -3) = 0
(35 + 10x + (7X + 2xX)) + -1(x + 5)(x + -3) = 0

Reorder the terms:
(35 + 7X + 10x + 2xX) + -1(x + 5)(x + -3) = 0
(35 + 7X + 10x + 2xX) + -1(x + 5)(x + -3) = 0

Reorder the terms:
35 + 7X + 10x + 2xX + -1(5 + x)(x + -3) = 0

Reorder the terms:
35 + 7X + 10x + 2xX + -1(5 + x)(-3 + x) = 0

Multiply (5 + x) * (-3 + x)
35 + 7X + 10x + 2xX + -1(5(-3 + x) + x(-3 + x)) = 0
35 + 7X + 10x + 2xX + -1((-3 * 5 + x * 5) + x(-3 + x)) = 0
35 + 7X + 10x + 2xX + -1((-15 + 5x) + x(-3 + x)) = 0
35 + 7X + 10x + 2xX + -1(-15 + 5x + (-3 * x + x * x)) = 0
35 + 7X + 10x + 2xX + -1(-15 + 5x + (-3x + x2)) = 0

Combine like terms: 5x + -3x = 2x
35 + 7X + 10x + 2xX + -1(-15 + 2x + x2) = 0
35 + 7X + 10x + 2xX + (-15 * -1 + 2x * -1 + x2 * -1) = 0
35 + 7X + 10x + 2xX + (15 + -2x + -1x2) = 0

Reorder the terms:
35 + 15 + 7X + 10x + -2x + 2xX + -1x2 = 0

Combine like terms: 35 + 15 = 50
50 + 7X + 10x + -2x + 2xX + -1x2 = 0

Combine like terms: 10x + -2x = 8x
50 + 7X + 8x + 2xX + -1x2 = 0

Solving
50 + 7X + 8x + 2xX + -1x2 = 0

Solving for variable 'X'.

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

Add '-50' to each side of the equation.
50 + 7X + 8x + 2xX + -50 + -1x2 = 0 + -50

Reorder the terms:
50 + -50 + 7X + 8x + 2xX + -1x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 7X + 8x + 2xX + -1x2 = 0 + -50
7X + 8x + 2xX + -1x2 = 0 + -50

Combine like terms: 0 + -50 = -50
7X + 8x + 2xX + -1x2 = -50

Add '-8x' to each side of the equation.
7X + 8x + 2xX + -8x + -1x2 = -50 + -8x

Reorder the terms:
7X + 8x + -8x + 2xX + -1x2 = -50 + -8x

Combine like terms: 8x + -8x = 0
7X + 0 + 2xX + -1x2 = -50 + -8x
7X + 2xX + -1x2 = -50 + -8x

Add 'x2' to each side of the equation.
7X + 2xX + -1x2 + x2 = -50 + -8x + x2

Combine like terms: -1x2 + x2 = 0
7X + 2xX + 0 = -50 + -8x + x2
7X + 2xX = -50 + -8x + x2

Reorder the terms:
50 + 7X + 8x + 2xX + -1x2 = -50 + -8x + x2 + 50 + 8x + -1x2

Reorder the terms:
50 + 7X + 8x + 2xX + -1x2 = -50 + 50 + -8x + 8x + x2 + -1x2

Combine like terms: -50 + 50 = 0
50 + 7X + 8x + 2xX + -1x2 = 0 + -8x + 8x + x2 + -1x2
50 + 7X + 8x + 2xX + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
50 + 7X + 8x + 2xX + -1x2 = 0 + x2 + -1x2
50 + 7X + 8x + 2xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
50 + 7X + 8x + 2xX + -1x2 = 0

The solution to this equation could not be determined.

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