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

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


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

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

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

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

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

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

Reorder the terms:
Y = 5 + 12 + -18 + 0.4X + -1.5X + -0.03X2

Combine like terms: 5 + 12 = 17
Y = 17 + -18 + 0.4X + -1.5X + -0.03X2

Combine like terms: 17 + -18 = -1
Y = -1 + 0.4X + -1.5X + -0.03X2

Combine like terms: 0.4X + -1.5X = -1.1X
Y = -1 + -1.1X + -0.03X2

Solving
Y = -1 + -1.1X + -0.03X2

Solving for variable 'Y'.

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

Simplifying
Y = -1 + -1.1X + -0.03X2

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