(X+6)(4x+10)(40+8x)=0

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Solution for (X+6)(4x+10)(40+8x)=0 equation:


Simplifying
(X + 6)(4x + 10)(40 + 8x) = 0

Reorder the terms:
(6 + X)(4x + 10)(40 + 8x) = 0

Reorder the terms:
(6 + X)(10 + 4x)(40 + 8x) = 0

Multiply (6 + X) * (10 + 4x)
(6(10 + 4x) + X(10 + 4x))(40 + 8x) = 0
((10 * 6 + 4x * 6) + X(10 + 4x))(40 + 8x) = 0
((60 + 24x) + X(10 + 4x))(40 + 8x) = 0
(60 + 24x + (10 * X + 4x * X))(40 + 8x) = 0
(60 + 24x + (10X + 4xX))(40 + 8x) = 0

Reorder the terms:
(60 + 10X + 24x + 4xX)(40 + 8x) = 0
(60 + 10X + 24x + 4xX)(40 + 8x) = 0

Multiply (60 + 10X + 24x + 4xX) * (40 + 8x)
(60(40 + 8x) + 10X * (40 + 8x) + 24x * (40 + 8x) + 4xX * (40 + 8x)) = 0
((40 * 60 + 8x * 60) + 10X * (40 + 8x) + 24x * (40 + 8x) + 4xX * (40 + 8x)) = 0
((2400 + 480x) + 10X * (40 + 8x) + 24x * (40 + 8x) + 4xX * (40 + 8x)) = 0
(2400 + 480x + (40 * 10X + 8x * 10X) + 24x * (40 + 8x) + 4xX * (40 + 8x)) = 0
(2400 + 480x + (400X + 80xX) + 24x * (40 + 8x) + 4xX * (40 + 8x)) = 0
(2400 + 480x + 400X + 80xX + (40 * 24x + 8x * 24x) + 4xX * (40 + 8x)) = 0
(2400 + 480x + 400X + 80xX + (960x + 192x2) + 4xX * (40 + 8x)) = 0
(2400 + 480x + 400X + 80xX + 960x + 192x2 + (40 * 4xX + 8x * 4xX)) = 0
(2400 + 480x + 400X + 80xX + 960x + 192x2 + (160xX + 32x2X)) = 0

Reorder the terms:
(2400 + 400X + 480x + 960x + 80xX + 160xX + 192x2 + 32x2X) = 0

Combine like terms: 480x + 960x = 1440x
(2400 + 400X + 1440x + 80xX + 160xX + 192x2 + 32x2X) = 0

Combine like terms: 80xX + 160xX = 240xX
(2400 + 400X + 1440x + 240xX + 192x2 + 32x2X) = 0

Solving
2400 + 400X + 1440x + 240xX + 192x2 + 32x2X = 0

Solving for variable 'X'.

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

Add '-2400' to each side of the equation.
2400 + 400X + 1440x + 240xX + 192x2 + -2400 + 32x2X = 0 + -2400

Reorder the terms:
2400 + -2400 + 400X + 1440x + 240xX + 192x2 + 32x2X = 0 + -2400

Combine like terms: 2400 + -2400 = 0
0 + 400X + 1440x + 240xX + 192x2 + 32x2X = 0 + -2400
400X + 1440x + 240xX + 192x2 + 32x2X = 0 + -2400

Combine like terms: 0 + -2400 = -2400
400X + 1440x + 240xX + 192x2 + 32x2X = -2400

Add '-1440x' to each side of the equation.
400X + 1440x + 240xX + 192x2 + -1440x + 32x2X = -2400 + -1440x

Reorder the terms:
400X + 1440x + -1440x + 240xX + 192x2 + 32x2X = -2400 + -1440x

Combine like terms: 1440x + -1440x = 0
400X + 0 + 240xX + 192x2 + 32x2X = -2400 + -1440x
400X + 240xX + 192x2 + 32x2X = -2400 + -1440x

Add '-192x2' to each side of the equation.
400X + 240xX + 192x2 + -192x2 + 32x2X = -2400 + -1440x + -192x2

Combine like terms: 192x2 + -192x2 = 0
400X + 240xX + 0 + 32x2X = -2400 + -1440x + -192x2
400X + 240xX + 32x2X = -2400 + -1440x + -192x2

Reorder the terms:
2400 + 400X + 1440x + 240xX + 192x2 + 32x2X = -2400 + -1440x + -192x2 + 2400 + 1440x + 192x2

Reorder the terms:
2400 + 400X + 1440x + 240xX + 192x2 + 32x2X = -2400 + 2400 + -1440x + 1440x + -192x2 + 192x2

Combine like terms: -2400 + 2400 = 0
2400 + 400X + 1440x + 240xX + 192x2 + 32x2X = 0 + -1440x + 1440x + -192x2 + 192x2
2400 + 400X + 1440x + 240xX + 192x2 + 32x2X = -1440x + 1440x + -192x2 + 192x2

Combine like terms: -1440x + 1440x = 0
2400 + 400X + 1440x + 240xX + 192x2 + 32x2X = 0 + -192x2 + 192x2
2400 + 400X + 1440x + 240xX + 192x2 + 32x2X = -192x2 + 192x2

Combine like terms: -192x2 + 192x2 = 0
2400 + 400X + 1440x + 240xX + 192x2 + 32x2X = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(150 + 25X + 90x + 15xX + 12x2 + 2x2X) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(150 + 25X + 90x + 15xX + 12x2 + 2x2X)' equal to zero and attempt to solve: Simplifying 150 + 25X + 90x + 15xX + 12x2 + 2x2X = 0 Solving 150 + 25X + 90x + 15xX + 12x2 + 2x2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + 25X + 90x + 15xX + 12x2 + -150 + 2x2X = 0 + -150 Reorder the terms: 150 + -150 + 25X + 90x + 15xX + 12x2 + 2x2X = 0 + -150 Combine like terms: 150 + -150 = 0 0 + 25X + 90x + 15xX + 12x2 + 2x2X = 0 + -150 25X + 90x + 15xX + 12x2 + 2x2X = 0 + -150 Combine like terms: 0 + -150 = -150 25X + 90x + 15xX + 12x2 + 2x2X = -150 Add '-90x' to each side of the equation. 25X + 90x + 15xX + 12x2 + -90x + 2x2X = -150 + -90x Reorder the terms: 25X + 90x + -90x + 15xX + 12x2 + 2x2X = -150 + -90x Combine like terms: 90x + -90x = 0 25X + 0 + 15xX + 12x2 + 2x2X = -150 + -90x 25X + 15xX + 12x2 + 2x2X = -150 + -90x Add '-12x2' to each side of the equation. 25X + 15xX + 12x2 + -12x2 + 2x2X = -150 + -90x + -12x2 Combine like terms: 12x2 + -12x2 = 0 25X + 15xX + 0 + 2x2X = -150 + -90x + -12x2 25X + 15xX + 2x2X = -150 + -90x + -12x2 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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