y=0.5(x-3)(x-3)-2

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Solution for y=0.5(x-3)(x-3)-2 equation: 


Simplifying
y = 0.5(x + -3)(x + -3) + -2

Reorder the terms:
y = 0.5(-3 + x)(x + -3) + -2

Reorder the terms:
y = 0.5(-3 + x)(-3 + x) + -2

Multiply (-3 + x) * (-3 + x)
y = 0.5(-3(-3 + x) + x(-3 + x)) + -2
y = 0.5((-3 * -3 + x * -3) + x(-3 + x)) + -2
y = 0.5((9 + -3x) + x(-3 + x)) + -2
y = 0.5(9 + -3x + (-3 * x + x * x)) + -2
y = 0.5(9 + -3x + (-3x + x2)) + -2

Combine like terms: -3x + -3x = -6x
y = 0.5(9 + -6x + x2) + -2
y = (9 * 0.5 + -6x * 0.5 + x2 * 0.5) + -2
y = (4.5 + -3x + 0.5x2) + -2

Reorder the terms:
y = 4.5 + -2 + -3x + 0.5x2

Combine like terms: 4.5 + -2 = 2.5
y = 2.5 + -3x + 0.5x2

Solving
y = 2.5 + -3x + 0.5x2

Solving for variable 'y'.

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

Simplifying
y = 2.5 + -3x + 0.5x2

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