(X-2)(4x+5)(x+7)(x-12)=0

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Solution for (X-2)(4x+5)(x+7)(x-12)=0 equation:

Simplifying
(X + -2)(4x + 5)(x + 7)(x + -12) = 0

Reorder the terms:
(-2 + X)(4x + 5)(x + 7)(x + -12) = 0

Reorder the terms:
(-2 + X)(5 + 4x)(x + 7)(x + -12) = 0

Reorder the terms:
(-2 + X)(5 + 4x)(7 + x)(x + -12) = 0

Reorder the terms:
(-2 + X)(5 + 4x)(7 + x)(-12 + x) = 0

Multiply (-2 + X) * (5 + 4x)
(-2(5 + 4x) + X(5 + 4x))(7 + x)(-12 + x) = 0
((5 * -2 + 4x * -2) + X(5 + 4x))(7 + x)(-12 + x) = 0
((-10 + -8x) + X(5 + 4x))(7 + x)(-12 + x) = 0
(-10 + -8x + (5 * X + 4x * X))(7 + x)(-12 + x) = 0
(-10 + -8x + (5X + 4xX))(7 + x)(-12 + x) = 0

Reorder the terms:
(-10 + 5X + -8x + 4xX)(7 + x)(-12 + x) = 0
(-10 + 5X + -8x + 4xX)(7 + x)(-12 + x) = 0

Multiply (-10 + 5X + -8x + 4xX) * (7 + x)
(-10(7 + x) + 5X * (7 + x) + -8x * (7 + x) + 4xX * (7 + x))(-12 + x) = 0
((7 * -10 + x * -10) + 5X * (7 + x) + -8x * (7 + x) + 4xX * (7 + x))(-12 + x) = 0
((-70 + -10x) + 5X * (7 + x) + -8x * (7 + x) + 4xX * (7 + x))(-12 + x) = 0
(-70 + -10x + (7 * 5X + x * 5X) + -8x * (7 + x) + 4xX * (7 + x))(-12 + x) = 0
(-70 + -10x + (35X + 5xX) + -8x * (7 + x) + 4xX * (7 + x))(-12 + x) = 0
(-70 + -10x + 35X + 5xX + (7 * -8x + x * -8x) + 4xX * (7 + x))(-12 + x) = 0
(-70 + -10x + 35X + 5xX + (-56x + -8x²) + 4xX * (7 + x))(-12 + x) = 0
(-70 + -10x + 35X + 5xX + -56x + -8x² + (7 * 4xX + x * 4xX))(-12 + x) = 0
(-70 + -10x + 35X + 5xX + -56x + -8x² + (28xX + 4x²X))(-12 + x) = 0

Reorder the terms:
(-70 + 35X + -10x + -56x + 5xX + 28xX + -8x² + 4x²X)(-12 + x) = 0

Combine like terms: -10x + -56x = -66x
(-70 + 35X + -66x + 5xX + 28xX + -8x² + 4x²X)(-12 + x) = 0

Combine like terms: 5xX + 28xX = 33xX
(-70 + 35X + -66x + 33xX + -8x² + 4x²X)(-12 + x) = 0

Multiply (-70 + 35X + -66x + 33xX + -8x² + 4x²X) * (-12 + x)
(-70(-12 + x) + 35X * (-12 + x) + -66x * (-12 + x) + 33xX * (-12 + x) + -8x² * (-12 + x) + 4x²X * (-12 + x)) = 0
((-12 * -70 + x * -70) + 35X * (-12 + x) + -66x * (-12 + x) + 33xX * (-12 + x) + -8x² * (-12 + x) + 4x²X * (-12 + x)) = 0
((840 + -70x) + 35X * (-12 + x) + -66x * (-12 + x) + 33xX * (-12 + x) + -8x² * (-12 + x) + 4x²X * (-12 + x)) = 0
(840 + -70x + (-12 * 35X + x * 35X) + -66x * (-12 + x) + 33xX * (-12 + x) + -8x² * (-12 + x) + 4x²X * (-12 + x)) = 0
(840 + -70x + (-420X + 35xX) + -66x * (-12 + x) + 33xX * (-12 + x) + -8x² * (-12 + x) + 4x²X * (-12 + x)) = 0
(840 + -70x + -420X + 35xX + (-12 * -66x + x * -66x) + 33xX * (-12 + x) + -8x² * (-12 + x) + 4x²X * (-12 + x)) = 0
(840 + -70x + -420X + 35xX + (792x + -66x²) + 33xX * (-12 + x) + -8x² * (-12 + x) + 4x²X * (-12 + x)) = 0
(840 + -70x + -420X + 35xX + 792x + -66x² + (-12 * 33xX + x * 33xX) + -8x² * (-12 + x) + 4x²X * (-12 + x)) = 0
(840 + -70x + -420X + 35xX + 792x + -66x² + (-396xX + 33x²X) + -8x² * (-12 + x) + 4x²X * (-12 + x)) = 0
(840 + -70x + -420X + 35xX + 792x + -66x² + -396xX + 33x²X + (-12 * -8x² + x * -8x²) + 4x²X * (-12 + x)) = 0
(840 + -70x + -420X + 35xX + 792x + -66x² + -396xX + 33x²X + (96x² + -8x³) + 4x²X * (-12 + x)) = 0
(840 + -70x + -420X + 35xX + 792x + -66x² + -396xX + 33x²X + 96x² + -8x³ + (-12 * 4x²X + x * 4x²X)) = 0
(840 + -70x + -420X + 35xX + 792x + -66x² + -396xX + 33x²X + 96x² + -8x³ + (-48x²X + 4x³X)) = 0

Reorder the terms:
(840 + -420X + -70x + 792x + 35xX + -396xX + -66x² + 96x² + 33x²X + -48x²X + -8x³ + 4x³X) = 0

Combine like terms: -70x + 792x = 722x
(840 + -420X + 722x + 35xX + -396xX + -66x² + 96x² + 33x²X + -48x²X + -8x³ + 4x³X) = 0

Combine like terms: 35xX + -396xX = -361xX
(840 + -420X + 722x + -361xX + -66x² + 96x² + 33x²X + -48x²X + -8x³ + 4x³X) = 0

Combine like terms: -66x² + 96x² = 30x²
(840 + -420X + 722x + -361xX + 30x² + 33x²X + -48x²X + -8x³ + 4x³X) = 0

Combine like terms: 33x²X + -48x²X = -15x²X
(840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X) = 0

Solving
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = 0

Solving for variable 'X'.

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

Add '-840' to each side of the equation.
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + -840 + 4x³X = 0 + -840

Reorder the terms:
840 + -840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = 0 + -840

Combine like terms: 840 + -840 = 0
0 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = 0 + -840
-420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = 0 + -840

Combine like terms: 0 + -840 = -840
-420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = -840

Add '-722x' to each side of the equation.
-420X + 722x + -361xX + 30x² + -15x²X + -8x³ + -722x + 4x³X = -840 + -722x

Reorder the terms:
-420X + 722x + -722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = -840 + -722x

Combine like terms: 722x + -722x = 0
-420X + 0 + -361xX + 30x² + -15x²X + -8x³ + 4x³X = -840 + -722x
-420X + -361xX + 30x² + -15x²X + -8x³ + 4x³X = -840 + -722x

Add '-30x²' to each side of the equation.
-420X + -361xX + 30x² + -15x²X + -8x³ + -30x² + 4x³X = -840 + -722x + -30x²

Reorder the terms:
-420X + -361xX + 30x² + -30x² + -15x²X + -8x³ + 4x³X = -840 + -722x + -30x²

Combine like terms: 30x² + -30x² = 0
-420X + -361xX + 0 + -15x²X + -8x³ + 4x³X = -840 + -722x + -30x²
-420X + -361xX + -15x²X + -8x³ + 4x³X = -840 + -722x + -30x²

Add '8x³' to each side of the equation.
-420X + -361xX + -15x²X + -8x³ + 8x³ + 4x³X = -840 + -722x + -30x² + 8x³

Combine like terms: -8x³ + 8x³ = 0
-420X + -361xX + -15x²X + 0 + 4x³X = -840 + -722x + -30x² + 8x³
-420X + -361xX + -15x²X + 4x³X = -840 + -722x + -30x² + 8x³

Reorder the terms:
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = -840 + -722x + -30x² + 8x³ + 840 + 722x + 30x² + -8x³

Reorder the terms:
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = -840 + 840 + -722x + 722x + -30x² + 30x² + 8x³ + -8x³

Combine like terms: -840 + 840 = 0
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = 0 + -722x + 722x + -30x² + 30x² + 8x³ + -8x³
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = -722x + 722x + -30x² + 30x² + 8x³ + -8x³

Combine like terms: -722x + 722x = 0
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = 0 + -30x² + 30x² + 8x³ + -8x³
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = -30x² + 30x² + 8x³ + -8x³

Combine like terms: -30x² + 30x² = 0
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = 0 + 8x³ + -8x³
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = 8x³ + -8x³

Combine like terms: 8x³ + -8x³ = 0
840 + -420X + 722x + -361xX + 30x² + -15x²X + -8x³ + 4x³X = 0

The solution to this equation could not be determined.

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(X-2)(4x+5)(x+7)(x-12)=0

Simple and best practice solution for (X-2)(4x+5)(x+7)(x-12)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (X-2)(4x+5)(x+7)(x-12)=0 equation:

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