y=a(x+2)(2x+10)

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Solution for y=a(x+2)(2x+10) equation: 


Simplifying
y = a(x + 2)(2x + 10)

Reorder the terms:
y = a(2 + x)(2x + 10)

Reorder the terms:
y = a(2 + x)(10 + 2x)

Multiply (2 + x) * (10 + 2x)
y = a(2(10 + 2x) + x(10 + 2x))
y = a((10 * 2 + 2x * 2) + x(10 + 2x))
y = a((20 + 4x) + x(10 + 2x))
y = a(20 + 4x + (10 * x + 2x * x))
y = a(20 + 4x + (10x + 2x2))

Combine like terms: 4x + 10x = 14x
y = a(20 + 14x + 2x2)
y = (20 * a + 14x * a + 2x2 * a)
y = (20a + 14ax + 2ax2)

Solving
y = 20a + 14ax + 2ax2

Solving for variable 'y'.

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

Simplifying
y = 20a + 14ax + 2ax2

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