y=(.5x-3)x(.5x-3)x(.5x-3)

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Solution for y=(.5x-3)x(.5x-3)x(.5x-3) equation:


Simplifying
y = (0.5x + -3) * x(0.5x + -3) * x(0.5x + -3)

Reorder the terms:
y = (-3 + 0.5x) * x(0.5x + -3) * x(0.5x + -3)

Reorder the terms:
y = (-3 + 0.5x) * x(-3 + 0.5x) * x(0.5x + -3)

Reorder the terms:
y = (-3 + 0.5x) * x(-3 + 0.5x) * x(-3 + 0.5x)

Reorder the terms for easier multiplication:
y = x * x(-3 + 0.5x)(-3 + 0.5x)(-3 + 0.5x)

Multiply x * x
y = x2(-3 + 0.5x)(-3 + 0.5x)(-3 + 0.5x)

Multiply (-3 + 0.5x) * (-3 + 0.5x)
y = x2(-3(-3 + 0.5x) + 0.5x * (-3 + 0.5x))(-3 + 0.5x)
y = x2((-3 * -3 + 0.5x * -3) + 0.5x * (-3 + 0.5x))(-3 + 0.5x)
y = x2((9 + -1.5x) + 0.5x * (-3 + 0.5x))(-3 + 0.5x)
y = x2(9 + -1.5x + (-3 * 0.5x + 0.5x * 0.5x))(-3 + 0.5x)
y = x2(9 + -1.5x + (-1.5x + 0.25x2))(-3 + 0.5x)

Combine like terms: -1.5x + -1.5x = -3x
y = x2(9 + -3x + 0.25x2)(-3 + 0.5x)

Multiply (9 + -3x + 0.25x2) * (-3 + 0.5x)
y = x2(9(-3 + 0.5x) + -3x * (-3 + 0.5x) + 0.25x2 * (-3 + 0.5x))
y = x2((-3 * 9 + 0.5x * 9) + -3x * (-3 + 0.5x) + 0.25x2 * (-3 + 0.5x))
y = x2((-27 + 4.5x) + -3x * (-3 + 0.5x) + 0.25x2 * (-3 + 0.5x))
y = x2(-27 + 4.5x + (-3 * -3x + 0.5x * -3x) + 0.25x2 * (-3 + 0.5x))
y = x2(-27 + 4.5x + (9x + -1.5x2) + 0.25x2 * (-3 + 0.5x))
y = x2(-27 + 4.5x + 9x + -1.5x2 + (-3 * 0.25x2 + 0.5x * 0.25x2))
y = x2(-27 + 4.5x + 9x + -1.5x2 + (-0.75x2 + 0.125x3))

Combine like terms: 4.5x + 9x = 13.5x
y = x2(-27 + 13.5x + -1.5x2 + -0.75x2 + 0.125x3)

Combine like terms: -1.5x2 + -0.75x2 = -2.25x2
y = x2(-27 + 13.5x + -2.25x2 + 0.125x3)
y = (-27 * x2 + 13.5x * x2 + -2.25x2 * x2 + 0.125x3 * x2)
y = (-27x2 + 13.5x3 + -2.25x4 + 0.125x5)

Solving
y = -27x2 + 13.5x3 + -2.25x4 + 0.125x5

Solving for variable 'y'.

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

Simplifying
y = -27x2 + 13.5x3 + -2.25x4 + 0.125x5

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