y=3(x-5)(7-x)

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Solution for y=3(x-5)(7-x) equation: 


Simplifying
y = 3(x + -5)(7 + -1x)

Reorder the terms:
y = 3(-5 + x)(7 + -1x)

Multiply (-5 + x) * (7 + -1x)
y = 3(-5(7 + -1x) + x(7 + -1x))
y = 3((7 * -5 + -1x * -5) + x(7 + -1x))
y = 3((-35 + 5x) + x(7 + -1x))
y = 3(-35 + 5x + (7 * x + -1x * x))
y = 3(-35 + 5x + (7x + -1x2))

Combine like terms: 5x + 7x = 12x
y = 3(-35 + 12x + -1x2)
y = (-35 * 3 + 12x * 3 + -1x2 * 3)
y = (-105 + 36x + -3x2)

Solving
y = -105 + 36x + -3x2

Solving for variable 'y'.

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

Simplifying
y = -105 + 36x + -3x2

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