(X+5)(x+8)+(x+5)(2x-3)=

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Solution for (X+5)(x+8)+(x+5)(2x-3)= equation: 


Simplifying
(X + 5)(x + 8) + (x + 5)(2x + -3) = 0

Reorder the terms:
(5 + X)(x + 8) + (x + 5)(2x + -3) = 0

Reorder the terms:
(5 + X)(8 + x) + (x + 5)(2x + -3) = 0

Multiply (5 + X) * (8 + x)
(5(8 + x) + X(8 + x)) + (x + 5)(2x + -3) = 0
((8 * 5 + x * 5) + X(8 + x)) + (x + 5)(2x + -3) = 0
((40 + 5x) + X(8 + x)) + (x + 5)(2x + -3) = 0
(40 + 5x + (8 * X + x * X)) + (x + 5)(2x + -3) = 0
(40 + 5x + (8X + xX)) + (x + 5)(2x + -3) = 0

Reorder the terms:
(40 + 8X + 5x + xX) + (x + 5)(2x + -3) = 0
(40 + 8X + 5x + xX) + (x + 5)(2x + -3) = 0

Reorder the terms:
40 + 8X + 5x + xX + (5 + x)(2x + -3) = 0

Reorder the terms:
40 + 8X + 5x + xX + (5 + x)(-3 + 2x) = 0

Multiply (5 + x) * (-3 + 2x)
40 + 8X + 5x + xX + (5(-3 + 2x) + x(-3 + 2x)) = 0
40 + 8X + 5x + xX + ((-3 * 5 + 2x * 5) + x(-3 + 2x)) = 0
40 + 8X + 5x + xX + ((-15 + 10x) + x(-3 + 2x)) = 0
40 + 8X + 5x + xX + (-15 + 10x + (-3 * x + 2x * x)) = 0
40 + 8X + 5x + xX + (-15 + 10x + (-3x + 2x2)) = 0

Combine like terms: 10x + -3x = 7x
40 + 8X + 5x + xX + (-15 + 7x + 2x2) = 0

Reorder the terms:
40 + -15 + 8X + 5x + 7x + xX + 2x2 = 0

Combine like terms: 40 + -15 = 25
25 + 8X + 5x + 7x + xX + 2x2 = 0

Combine like terms: 5x + 7x = 12x
25 + 8X + 12x + xX + 2x2 = 0

Solving
25 + 8X + 12x + xX + 2x2 = 0

Solving for variable 'X'.

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

Add '-25' to each side of the equation.
25 + 8X + 12x + xX + -25 + 2x2 = 0 + -25

Reorder the terms:
25 + -25 + 8X + 12x + xX + 2x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 8X + 12x + xX + 2x2 = 0 + -25
8X + 12x + xX + 2x2 = 0 + -25

Combine like terms: 0 + -25 = -25
8X + 12x + xX + 2x2 = -25

Add '-12x' to each side of the equation.
8X + 12x + xX + -12x + 2x2 = -25 + -12x

Reorder the terms:
8X + 12x + -12x + xX + 2x2 = -25 + -12x

Combine like terms: 12x + -12x = 0
8X + 0 + xX + 2x2 = -25 + -12x
8X + xX + 2x2 = -25 + -12x

Add '-2x2' to each side of the equation.
8X + xX + 2x2 + -2x2 = -25 + -12x + -2x2

Combine like terms: 2x2 + -2x2 = 0
8X + xX + 0 = -25 + -12x + -2x2
8X + xX = -25 + -12x + -2x2

Reorder the terms:
25 + 8X + 12x + xX + 2x2 = -25 + -12x + -2x2 + 25 + 12x + 2x2

Reorder the terms:
25 + 8X + 12x + xX + 2x2 = -25 + 25 + -12x + 12x + -2x2 + 2x2

Combine like terms: -25 + 25 = 0
25 + 8X + 12x + xX + 2x2 = 0 + -12x + 12x + -2x2 + 2x2
25 + 8X + 12x + xX + 2x2 = -12x + 12x + -2x2 + 2x2

Combine like terms: -12x + 12x = 0
25 + 8X + 12x + xX + 2x2 = 0 + -2x2 + 2x2
25 + 8X + 12x + xX + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
25 + 8X + 12x + xX + 2x2 = 0

The solution to this equation could not be determined.

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