Y=5+0.4(X+30)+-0.03(X+30)(X+20)+(X+30)(X+20)X+(X+30)(X+20)X(X+-10)

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Solution for Y=5+0.4(X+30)+-0.03(X+30)(X+20)+(X+30)(X+20)X+(X+30)(X+20)X(X+-10) equation: 


Simplifying
Y = 5 + 0.4(X + 30) + -0.03(X + 30)(X + 20) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)

Reorder the terms:
Y = 5 + 0.4(30 + X) + -0.03(X + 30)(X + 20) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)
Y = 5 + (30 * 0.4 + X * 0.4) + -0.03(X + 30)(X + 20) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)
Y = 5 + (12 + 0.4X) + -0.03(X + 30)(X + 20) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)

Reorder the terms:
Y = 5 + 12 + 0.4X + -0.03(30 + X)(X + 20) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)

Reorder the terms:
Y = 5 + 12 + 0.4X + -0.03(30 + X)(20 + X) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)

Multiply (30 + X) * (20 + X)
Y = 5 + 12 + 0.4X + -0.03(30(20 + X) + X(20 + X)) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -0.03((20 * 30 + X * 30) + X(20 + X)) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -0.03((600 + 30X) + X(20 + X)) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -0.03(600 + 30X + (20 * X + X * X)) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -0.03(600 + 30X + (20X + X2)) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)

Combine like terms: 30X + 20X = 50X
Y = 5 + 12 + 0.4X + -0.03(600 + 50X + X2) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + (600 * -0.03 + 50X * -0.03 + X2 * -0.03) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + (-18 + -1.5X + -0.03X2) + (X + 30)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)

Reorder the terms:
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + (30 + X)(X + 20) * X + (X + 30)(X + 20) * X(X + -10)

Reorder the terms:
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + (30 + X)(20 + X) * X + (X + 30)(X + 20) * X(X + -10)

Reorder the terms for easier multiplication:
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + X(30 + X)(20 + X) + (X + 30)(X + 20) * X(X + -10)

Multiply (30 + X) * (20 + X)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + X(30(20 + X) + X(20 + X)) + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + X((20 * 30 + X * 30) + X(20 + X)) + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + X((600 + 30X) + X(20 + X)) + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + X(600 + 30X + (20 * X + X * X)) + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + X(600 + 30X + (20X + X2)) + (X + 30)(X + 20) * X(X + -10)

Combine like terms: 30X + 20X = 50X
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + X(600 + 50X + X2) + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + (600 * X + 50X * X + X2 * X) + (X + 30)(X + 20) * X(X + -10)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + (600X + 50X2 + X3) + (X + 30)(X + 20) * X(X + -10)

Reorder the terms:
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + (30 + X)(X + 20) * X(X + -10)

Reorder the terms:
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + (30 + X)(20 + X) * X(X + -10)

Reorder the terms:
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + (30 + X)(20 + X) * X(-10 + X)

Reorder the terms for easier multiplication:
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(30 + X)(20 + X)(-10 + X)

Multiply (30 + X) * (20 + X)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(30(20 + X) + X(20 + X))(-10 + X)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X((20 * 30 + X * 30) + X(20 + X))(-10 + X)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X((600 + 30X) + X(20 + X))(-10 + X)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(600 + 30X + (20 * X + X * X))(-10 + X)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(600 + 30X + (20X + X2))(-10 + X)

Combine like terms: 30X + 20X = 50X
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(600 + 50X + X2)(-10 + X)

Multiply (600 + 50X + X2) * (-10 + X)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(600(-10 + X) + 50X * (-10 + X) + X2(-10 + X))
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X((-10 * 600 + X * 600) + 50X * (-10 + X) + X2(-10 + X))
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X((-6000 + 600X) + 50X * (-10 + X) + X2(-10 + X))
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(-6000 + 600X + (-10 * 50X + X * 50X) + X2(-10 + X))
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(-6000 + 600X + (-500X + 50X2) + X2(-10 + X))
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(-6000 + 600X + -500X + 50X2 + (-10 * X2 + X * X2))
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(-6000 + 600X + -500X + 50X2 + (-10X2 + X3))

Combine like terms: 600X + -500X = 100X
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(-6000 + 100X + 50X2 + -10X2 + X3)

Combine like terms: 50X2 + -10X2 = 40X2
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + X(-6000 + 100X + 40X2 + X3)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + (-6000 * X + 100X * X + 40X2 * X + X3 * X)
Y = 5 + 12 + 0.4X + -18 + -1.5X + -0.03X2 + 600X + 50X2 + X3 + (-6000X + 100X2 + 40X3 + X4)

Reorder the terms:
Y = 5 + 12 + -18 + 0.4X + -1.5X + 600X + -6000X + -0.03X2 + 50X2 + 100X2 + X3 + 40X3 + X4

Combine like terms: 5 + 12 = 17
Y = 17 + -18 + 0.4X + -1.5X + 600X + -6000X + -0.03X2 + 50X2 + 100X2 + X3 + 40X3 + X4

Combine like terms: 17 + -18 = -1
Y = -1 + 0.4X + -1.5X + 600X + -6000X + -0.03X2 + 50X2 + 100X2 + X3 + 40X3 + X4

Combine like terms: 0.4X + -1.5X = -1.1X
Y = -1 + -1.1X + 600X + -6000X + -0.03X2 + 50X2 + 100X2 + X3 + 40X3 + X4

Combine like terms: -1.1X + 600X = 598.9X
Y = -1 + 598.9X + -6000X + -0.03X2 + 50X2 + 100X2 + X3 + 40X3 + X4

Combine like terms: 598.9X + -6000X = -5401.1X
Y = -1 + -5401.1X + -0.03X2 + 50X2 + 100X2 + X3 + 40X3 + X4

Combine like terms: -0.03X2 + 50X2 = 49.97X2
Y = -1 + -5401.1X + 49.97X2 + 100X2 + X3 + 40X3 + X4

Combine like terms: 49.97X2 + 100X2 = 149.97X2
Y = -1 + -5401.1X + 149.97X2 + X3 + 40X3 + X4

Combine like terms: X3 + 40X3 = 41X3
Y = -1 + -5401.1X + 149.97X2 + 41X3 + X4

Solving
Y = -1 + -5401.1X + 149.97X2 + 41X3 + X4

Solving for variable 'Y'.

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

Simplifying
Y = -1 + -5401.1X + 149.97X2 + 41X3 + X4

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