X(5x-2)+x(2x-3)=(7x+8)(x-3)

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Solution for X(5x-2)+x(2x-3)=(7x+8)(x-3) equation:


Simplifying
X(5x + -2) + x(2x + -3) = (7x + 8)(x + -3)

Reorder the terms:
X(-2 + 5x) + x(2x + -3) = (7x + 8)(x + -3)
(-2 * X + 5x * X) + x(2x + -3) = (7x + 8)(x + -3)
(-2X + 5xX) + x(2x + -3) = (7x + 8)(x + -3)

Reorder the terms:
-2X + 5xX + x(-3 + 2x) = (7x + 8)(x + -3)
-2X + 5xX + (-3 * x + 2x * x) = (7x + 8)(x + -3)
-2X + 5xX + (-3x + 2x2) = (7x + 8)(x + -3)

Reorder the terms:
-2X + -3x + 5xX + 2x2 = (7x + 8)(x + -3)

Reorder the terms:
-2X + -3x + 5xX + 2x2 = (8 + 7x)(x + -3)

Reorder the terms:
-2X + -3x + 5xX + 2x2 = (8 + 7x)(-3 + x)

Multiply (8 + 7x) * (-3 + x)
-2X + -3x + 5xX + 2x2 = (8(-3 + x) + 7x * (-3 + x))
-2X + -3x + 5xX + 2x2 = ((-3 * 8 + x * 8) + 7x * (-3 + x))
-2X + -3x + 5xX + 2x2 = ((-24 + 8x) + 7x * (-3 + x))
-2X + -3x + 5xX + 2x2 = (-24 + 8x + (-3 * 7x + x * 7x))
-2X + -3x + 5xX + 2x2 = (-24 + 8x + (-21x + 7x2))

Combine like terms: 8x + -21x = -13x
-2X + -3x + 5xX + 2x2 = (-24 + -13x + 7x2)

Solving
-2X + -3x + 5xX + 2x2 = -24 + -13x + 7x2

Solving for variable 'X'.

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

Add '3x' to each side of the equation.
-2X + -3x + 5xX + 3x + 2x2 = -24 + -13x + 3x + 7x2

Reorder the terms:
-2X + -3x + 3x + 5xX + 2x2 = -24 + -13x + 3x + 7x2

Combine like terms: -3x + 3x = 0
-2X + 0 + 5xX + 2x2 = -24 + -13x + 3x + 7x2
-2X + 5xX + 2x2 = -24 + -13x + 3x + 7x2

Combine like terms: -13x + 3x = -10x
-2X + 5xX + 2x2 = -24 + -10x + 7x2

Add '-2x2' to each side of the equation.
-2X + 5xX + 2x2 + -2x2 = -24 + -10x + 7x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2X + 5xX + 0 = -24 + -10x + 7x2 + -2x2
-2X + 5xX = -24 + -10x + 7x2 + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
-2X + 5xX = -24 + -10x + 5x2

Reorder the terms:
24 + -2X + 10x + 5xX + -5x2 = -24 + -10x + 5x2 + 24 + 10x + -5x2

Reorder the terms:
24 + -2X + 10x + 5xX + -5x2 = -24 + 24 + -10x + 10x + 5x2 + -5x2

Combine like terms: -24 + 24 = 0
24 + -2X + 10x + 5xX + -5x2 = 0 + -10x + 10x + 5x2 + -5x2
24 + -2X + 10x + 5xX + -5x2 = -10x + 10x + 5x2 + -5x2

Combine like terms: -10x + 10x = 0
24 + -2X + 10x + 5xX + -5x2 = 0 + 5x2 + -5x2
24 + -2X + 10x + 5xX + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
24 + -2X + 10x + 5xX + -5x2 = 0

The solution to this equation could not be determined.

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