y=a(x-10)(x-5)

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Solution for y=a(x-10)(x-5) equation: 


Simplifying
y = a(x + -10)(x + -5)

Reorder the terms:
y = a(-10 + x)(x + -5)

Reorder the terms:
y = a(-10 + x)(-5 + x)

Multiply (-10 + x) * (-5 + x)
y = a(-10(-5 + x) + x(-5 + x))
y = a((-5 * -10 + x * -10) + x(-5 + x))
y = a((50 + -10x) + x(-5 + x))
y = a(50 + -10x + (-5 * x + x * x))
y = a(50 + -10x + (-5x + x2))

Combine like terms: -10x + -5x = -15x
y = a(50 + -15x + x2)
y = (50 * a + -15x * a + x2 * a)
y = (50a + -15ax + ax2)

Solving
y = 50a + -15ax + ax2

Solving for variable 'y'.

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

Simplifying
y = 50a + -15ax + ax2

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