(X+7)(x-9)(2x-4)=0

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Solution for (X+7)(x-9)(2x-4)=0 equation: 


Simplifying
(X + 7)(x + -9)(2x + -4) = 0

Reorder the terms:
(7 + X)(x + -9)(2x + -4) = 0

Reorder the terms:
(7 + X)(-9 + x)(2x + -4) = 0

Reorder the terms:
(7 + X)(-9 + x)(-4 + 2x) = 0

Multiply (7 + X) * (-9 + x)
(7(-9 + x) + X(-9 + x))(-4 + 2x) = 0
((-9 * 7 + x * 7) + X(-9 + x))(-4 + 2x) = 0
((-63 + 7x) + X(-9 + x))(-4 + 2x) = 0
(-63 + 7x + (-9 * X + x * X))(-4 + 2x) = 0
(-63 + 7x + (-9X + xX))(-4 + 2x) = 0

Reorder the terms:
(-63 + -9X + 7x + xX)(-4 + 2x) = 0
(-63 + -9X + 7x + xX)(-4 + 2x) = 0

Multiply (-63 + -9X + 7x + xX) * (-4 + 2x)
(-63(-4 + 2x) + -9X * (-4 + 2x) + 7x * (-4 + 2x) + xX(-4 + 2x)) = 0
((-4 * -63 + 2x * -63) + -9X * (-4 + 2x) + 7x * (-4 + 2x) + xX(-4 + 2x)) = 0
((252 + -126x) + -9X * (-4 + 2x) + 7x * (-4 + 2x) + xX(-4 + 2x)) = 0
(252 + -126x + (-4 * -9X + 2x * -9X) + 7x * (-4 + 2x) + xX(-4 + 2x)) = 0
(252 + -126x + (36X + -18xX) + 7x * (-4 + 2x) + xX(-4 + 2x)) = 0
(252 + -126x + 36X + -18xX + (-4 * 7x + 2x * 7x) + xX(-4 + 2x)) = 0
(252 + -126x + 36X + -18xX + (-28x + 14x2) + xX(-4 + 2x)) = 0
(252 + -126x + 36X + -18xX + -28x + 14x2 + (-4 * xX + 2x * xX)) = 0
(252 + -126x + 36X + -18xX + -28x + 14x2 + (-4xX + 2x2X)) = 0

Reorder the terms:
(252 + 36X + -126x + -28x + -18xX + -4xX + 14x2 + 2x2X) = 0

Combine like terms: -126x + -28x = -154x
(252 + 36X + -154x + -18xX + -4xX + 14x2 + 2x2X) = 0

Combine like terms: -18xX + -4xX = -22xX
(252 + 36X + -154x + -22xX + 14x2 + 2x2X) = 0

Solving
252 + 36X + -154x + -22xX + 14x2 + 2x2X = 0

Solving for variable 'X'.

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

Add '-252' to each side of the equation.
252 + 36X + -154x + -22xX + 14x2 + -252 + 2x2X = 0 + -252

Reorder the terms:
252 + -252 + 36X + -154x + -22xX + 14x2 + 2x2X = 0 + -252

Combine like terms: 252 + -252 = 0
0 + 36X + -154x + -22xX + 14x2 + 2x2X = 0 + -252
36X + -154x + -22xX + 14x2 + 2x2X = 0 + -252

Combine like terms: 0 + -252 = -252
36X + -154x + -22xX + 14x2 + 2x2X = -252

Add '154x' to each side of the equation.
36X + -154x + -22xX + 14x2 + 154x + 2x2X = -252 + 154x

Reorder the terms:
36X + -154x + 154x + -22xX + 14x2 + 2x2X = -252 + 154x

Combine like terms: -154x + 154x = 0
36X + 0 + -22xX + 14x2 + 2x2X = -252 + 154x
36X + -22xX + 14x2 + 2x2X = -252 + 154x

Add '-14x2' to each side of the equation.
36X + -22xX + 14x2 + -14x2 + 2x2X = -252 + 154x + -14x2

Combine like terms: 14x2 + -14x2 = 0
36X + -22xX + 0 + 2x2X = -252 + 154x + -14x2
36X + -22xX + 2x2X = -252 + 154x + -14x2

Reorder the terms:
252 + 36X + -154x + -22xX + 14x2 + 2x2X = -252 + 154x + -14x2 + 252 + -154x + 14x2

Reorder the terms:
252 + 36X + -154x + -22xX + 14x2 + 2x2X = -252 + 252 + 154x + -154x + -14x2 + 14x2

Combine like terms: -252 + 252 = 0
252 + 36X + -154x + -22xX + 14x2 + 2x2X = 0 + 154x + -154x + -14x2 + 14x2
252 + 36X + -154x + -22xX + 14x2 + 2x2X = 154x + -154x + -14x2 + 14x2

Combine like terms: 154x + -154x = 0
252 + 36X + -154x + -22xX + 14x2 + 2x2X = 0 + -14x2 + 14x2
252 + 36X + -154x + -22xX + 14x2 + 2x2X = -14x2 + 14x2

Combine like terms: -14x2 + 14x2 = 0
252 + 36X + -154x + -22xX + 14x2 + 2x2X = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(126 + 18X + -77x + -11xX + 7x2 + x2X) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(126 + 18X + -77x + -11xX + 7x2 + x2X)' equal to zero and attempt to solve:

Simplifying
126 + 18X + -77x + -11xX + 7x2 + x2X = 0

Solving
126 + 18X + -77x + -11xX + 7x2 + x2X = 0

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

Add '-126' to each side of the equation.
126 + 18X + -77x + -11xX + 7x2 + -126 + x2X = 0 + -126

Reorder the terms:
126 + -126 + 18X + -77x + -11xX + 7x2 + x2X = 0 + -126

Combine like terms: 126 + -126 = 0
0 + 18X + -77x + -11xX + 7x2 + x2X = 0 + -126
18X + -77x + -11xX + 7x2 + x2X = 0 + -126

Combine like terms: 0 + -126 = -126
18X + -77x + -11xX + 7x2 + x2X = -126

Add '77x' to each side of the equation.
18X + -77x + -11xX + 7x2 + 77x + x2X = -126 + 77x

Reorder the terms:
18X + -77x + 77x + -11xX + 7x2 + x2X = -126 + 77x

Combine like terms: -77x + 77x = 0
18X + 0 + -11xX + 7x2 + x2X = -126 + 77x
18X + -11xX + 7x2 + x2X = -126 + 77x

Add '-7x2' to each side of the equation.
18X + -11xX + 7x2 + -7x2 + x2X = -126 + 77x + -7x2

Combine like terms: 7x2 + -7x2 = 0
18X + -11xX + 0 + x2X = -126 + 77x + -7x2
18X + -11xX + x2X = -126 + 77x + -7x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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