(X+5)(2x-3)+3(x+3)(3x-7)-(4x-5)(6-x)=

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Solution for (X+5)(2x-3)+3(x+3)(3x-7)-(4x-5)(6-x)= equation: 


Simplifying
(X + 5)(2x + -3) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0

Reorder the terms:
(5 + X)(2x + -3) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0

Reorder the terms:
(5 + X)(-3 + 2x) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0

Multiply (5 + X) * (-3 + 2x)
(5(-3 + 2x) + X(-3 + 2x)) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0
((-3 * 5 + 2x * 5) + X(-3 + 2x)) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0
((-15 + 10x) + X(-3 + 2x)) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0
(-15 + 10x + (-3 * X + 2x * X)) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0
(-15 + 10x + (-3X + 2xX)) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0

Reorder the terms:
(-15 + -3X + 10x + 2xX) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0
(-15 + -3X + 10x + 2xX) + 3(x + 3)(3x + -7) + -1(4x + -5)(6 + -1x) = 0

Reorder the terms:
-15 + -3X + 10x + 2xX + 3(3 + x)(3x + -7) + -1(4x + -5)(6 + -1x) = 0

Reorder the terms:
-15 + -3X + 10x + 2xX + 3(3 + x)(-7 + 3x) + -1(4x + -5)(6 + -1x) = 0

Multiply (3 + x) * (-7 + 3x)
-15 + -3X + 10x + 2xX + 3(3(-7 + 3x) + x(-7 + 3x)) + -1(4x + -5)(6 + -1x) = 0
-15 + -3X + 10x + 2xX + 3((-7 * 3 + 3x * 3) + x(-7 + 3x)) + -1(4x + -5)(6 + -1x) = 0
-15 + -3X + 10x + 2xX + 3((-21 + 9x) + x(-7 + 3x)) + -1(4x + -5)(6 + -1x) = 0
-15 + -3X + 10x + 2xX + 3(-21 + 9x + (-7 * x + 3x * x)) + -1(4x + -5)(6 + -1x) = 0
-15 + -3X + 10x + 2xX + 3(-21 + 9x + (-7x + 3x2)) + -1(4x + -5)(6 + -1x) = 0

Combine like terms: 9x + -7x = 2x
-15 + -3X + 10x + 2xX + 3(-21 + 2x + 3x2) + -1(4x + -5)(6 + -1x) = 0
-15 + -3X + 10x + 2xX + (-21 * 3 + 2x * 3 + 3x2 * 3) + -1(4x + -5)(6 + -1x) = 0
-15 + -3X + 10x + 2xX + (-63 + 6x + 9x2) + -1(4x + -5)(6 + -1x) = 0

Reorder the terms:
-15 + -3X + 10x + 2xX + -63 + 6x + 9x2 + -1(-5 + 4x)(6 + -1x) = 0

Multiply (-5 + 4x) * (6 + -1x)
-15 + -3X + 10x + 2xX + -63 + 6x + 9x2 + -1(-5(6 + -1x) + 4x * (6 + -1x)) = 0
-15 + -3X + 10x + 2xX + -63 + 6x + 9x2 + -1((6 * -5 + -1x * -5) + 4x * (6 + -1x)) = 0
-15 + -3X + 10x + 2xX + -63 + 6x + 9x2 + -1((-30 + 5x) + 4x * (6 + -1x)) = 0
-15 + -3X + 10x + 2xX + -63 + 6x + 9x2 + -1(-30 + 5x + (6 * 4x + -1x * 4x)) = 0
-15 + -3X + 10x + 2xX + -63 + 6x + 9x2 + -1(-30 + 5x + (24x + -4x2)) = 0

Combine like terms: 5x + 24x = 29x
-15 + -3X + 10x + 2xX + -63 + 6x + 9x2 + -1(-30 + 29x + -4x2) = 0
-15 + -3X + 10x + 2xX + -63 + 6x + 9x2 + (-30 * -1 + 29x * -1 + -4x2 * -1) = 0
-15 + -3X + 10x + 2xX + -63 + 6x + 9x2 + (30 + -29x + 4x2) = 0

Reorder the terms:
-15 + -63 + 30 + -3X + 10x + 6x + -29x + 2xX + 9x2 + 4x2 = 0

Combine like terms: -15 + -63 = -78
-78 + 30 + -3X + 10x + 6x + -29x + 2xX + 9x2 + 4x2 = 0

Combine like terms: -78 + 30 = -48
-48 + -3X + 10x + 6x + -29x + 2xX + 9x2 + 4x2 = 0

Combine like terms: 10x + 6x = 16x
-48 + -3X + 16x + -29x + 2xX + 9x2 + 4x2 = 0

Combine like terms: 16x + -29x = -13x
-48 + -3X + -13x + 2xX + 9x2 + 4x2 = 0

Combine like terms: 9x2 + 4x2 = 13x2
-48 + -3X + -13x + 2xX + 13x2 = 0

Solving
-48 + -3X + -13x + 2xX + 13x2 = 0

Solving for variable 'X'.

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

Add '48' to each side of the equation.
-48 + -3X + -13x + 2xX + 48 + 13x2 = 0 + 48

Reorder the terms:
-48 + 48 + -3X + -13x + 2xX + 13x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + -3X + -13x + 2xX + 13x2 = 0 + 48
-3X + -13x + 2xX + 13x2 = 0 + 48

Combine like terms: 0 + 48 = 48
-3X + -13x + 2xX + 13x2 = 48

Add '13x' to each side of the equation.
-3X + -13x + 2xX + 13x + 13x2 = 48 + 13x

Reorder the terms:
-3X + -13x + 13x + 2xX + 13x2 = 48 + 13x

Combine like terms: -13x + 13x = 0
-3X + 0 + 2xX + 13x2 = 48 + 13x
-3X + 2xX + 13x2 = 48 + 13x

Add '-13x2' to each side of the equation.
-3X + 2xX + 13x2 + -13x2 = 48 + 13x + -13x2

Combine like terms: 13x2 + -13x2 = 0
-3X + 2xX + 0 = 48 + 13x + -13x2
-3X + 2xX = 48 + 13x + -13x2

Reorder the terms:
-48 + -3X + -13x + 2xX + 13x2 = 48 + 13x + -13x2 + -48 + -13x + 13x2

Reorder the terms:
-48 + -3X + -13x + 2xX + 13x2 = 48 + -48 + 13x + -13x + -13x2 + 13x2

Combine like terms: 48 + -48 = 0
-48 + -3X + -13x + 2xX + 13x2 = 0 + 13x + -13x + -13x2 + 13x2
-48 + -3X + -13x + 2xX + 13x2 = 13x + -13x + -13x2 + 13x2

Combine like terms: 13x + -13x = 0
-48 + -3X + -13x + 2xX + 13x2 = 0 + -13x2 + 13x2
-48 + -3X + -13x + 2xX + 13x2 = -13x2 + 13x2

Combine like terms: -13x2 + 13x2 = 0
-48 + -3X + -13x + 2xX + 13x2 = 0

The solution to this equation could not be determined.

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