X(7x-9)=(7x+8)(x-3)

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Solution for X(7x-9)=(7x+8)(x-3) equation:


Simplifying
X(7x + -9) = (7x + 8)(x + -3)

Reorder the terms:
X(-9 + 7x) = (7x + 8)(x + -3)
(-9 * X + 7x * X) = (7x + 8)(x + -3)
(-9X + 7xX) = (7x + 8)(x + -3)

Reorder the terms:
-9X + 7xX = (8 + 7x)(x + -3)

Reorder the terms:
-9X + 7xX = (8 + 7x)(-3 + x)

Multiply (8 + 7x) * (-3 + x)
-9X + 7xX = (8(-3 + x) + 7x * (-3 + x))
-9X + 7xX = ((-3 * 8 + x * 8) + 7x * (-3 + x))
-9X + 7xX = ((-24 + 8x) + 7x * (-3 + x))
-9X + 7xX = (-24 + 8x + (-3 * 7x + x * 7x))
-9X + 7xX = (-24 + 8x + (-21x + 7x2))

Combine like terms: 8x + -21x = -13x
-9X + 7xX = (-24 + -13x + 7x2)

Solving
-9X + 7xX = -24 + -13x + 7x2

Solving for variable 'X'.

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

Reorder the terms:
24 + -9X + 13x + 7xX + -7x2 = -24 + -13x + 7x2 + 24 + 13x + -7x2

Reorder the terms:
24 + -9X + 13x + 7xX + -7x2 = -24 + 24 + -13x + 13x + 7x2 + -7x2

Combine like terms: -24 + 24 = 0
24 + -9X + 13x + 7xX + -7x2 = 0 + -13x + 13x + 7x2 + -7x2
24 + -9X + 13x + 7xX + -7x2 = -13x + 13x + 7x2 + -7x2

Combine like terms: -13x + 13x = 0
24 + -9X + 13x + 7xX + -7x2 = 0 + 7x2 + -7x2
24 + -9X + 13x + 7xX + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
24 + -9X + 13x + 7xX + -7x2 = 0

The solution to this equation could not be determined.

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