X(3x-4)+2x(x+7)=5x(x-7)+99

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Solution for X(3x-4)+2x(x+7)=5x(x-7)+99 equation: 


Simplifying
X(3x + -4) + 2x(x + 7) = 5x(x + -7) + 99

Reorder the terms:
X(-4 + 3x) + 2x(x + 7) = 5x(x + -7) + 99
(-4 * X + 3x * X) + 2x(x + 7) = 5x(x + -7) + 99
(-4X + 3xX) + 2x(x + 7) = 5x(x + -7) + 99

Reorder the terms:
-4X + 3xX + 2x(7 + x) = 5x(x + -7) + 99
-4X + 3xX + (7 * 2x + x * 2x) = 5x(x + -7) + 99
-4X + 3xX + (14x + 2x2) = 5x(x + -7) + 99

Reorder the terms:
-4X + 14x + 3xX + 2x2 = 5x(x + -7) + 99

Reorder the terms:
-4X + 14x + 3xX + 2x2 = 5x(-7 + x) + 99
-4X + 14x + 3xX + 2x2 = (-7 * 5x + x * 5x) + 99
-4X + 14x + 3xX + 2x2 = (-35x + 5x2) + 99

Reorder the terms:
-4X + 14x + 3xX + 2x2 = 99 + -35x + 5x2

Solving
-4X + 14x + 3xX + 2x2 = 99 + -35x + 5x2

Solving for variable 'X'.

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

Add '-14x' to each side of the equation.
-4X + 14x + 3xX + -14x + 2x2 = 99 + -35x + -14x + 5x2

Reorder the terms:
-4X + 14x + -14x + 3xX + 2x2 = 99 + -35x + -14x + 5x2

Combine like terms: 14x + -14x = 0
-4X + 0 + 3xX + 2x2 = 99 + -35x + -14x + 5x2
-4X + 3xX + 2x2 = 99 + -35x + -14x + 5x2

Combine like terms: -35x + -14x = -49x
-4X + 3xX + 2x2 = 99 + -49x + 5x2

Add '-2x2' to each side of the equation.
-4X + 3xX + 2x2 + -2x2 = 99 + -49x + 5x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-4X + 3xX + 0 = 99 + -49x + 5x2 + -2x2
-4X + 3xX = 99 + -49x + 5x2 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-4X + 3xX = 99 + -49x + 3x2

Reorder the terms:
-99 + -4X + 49x + 3xX + -3x2 = 99 + -49x + 3x2 + -99 + 49x + -3x2

Reorder the terms:
-99 + -4X + 49x + 3xX + -3x2 = 99 + -99 + -49x + 49x + 3x2 + -3x2

Combine like terms: 99 + -99 = 0
-99 + -4X + 49x + 3xX + -3x2 = 0 + -49x + 49x + 3x2 + -3x2
-99 + -4X + 49x + 3xX + -3x2 = -49x + 49x + 3x2 + -3x2

Combine like terms: -49x + 49x = 0
-99 + -4X + 49x + 3xX + -3x2 = 0 + 3x2 + -3x2
-99 + -4X + 49x + 3xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-99 + -4X + 49x + 3xX + -3x2 = 0

The solution to this equation could not be determined.

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