y=(4x^2+8x-8)(4x+5)

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Solution for y=(4x^2+8x-8)(4x+5) equation: 


Simplifying
y = (4x2 + 8x + -8)(4x + 5)

Reorder the terms:
y = (-8 + 8x + 4x2)(4x + 5)

Reorder the terms:
y = (-8 + 8x + 4x2)(5 + 4x)

Multiply (-8 + 8x + 4x2) * (5 + 4x)
y = (-8(5 + 4x) + 8x * (5 + 4x) + 4x2 * (5 + 4x))
y = ((5 * -8 + 4x * -8) + 8x * (5 + 4x) + 4x2 * (5 + 4x))
y = ((-40 + -32x) + 8x * (5 + 4x) + 4x2 * (5 + 4x))
y = (-40 + -32x + (5 * 8x + 4x * 8x) + 4x2 * (5 + 4x))
y = (-40 + -32x + (40x + 32x2) + 4x2 * (5 + 4x))
y = (-40 + -32x + 40x + 32x2 + (5 * 4x2 + 4x * 4x2))
y = (-40 + -32x + 40x + 32x2 + (20x2 + 16x3))

Combine like terms: -32x + 40x = 8x
y = (-40 + 8x + 32x2 + 20x2 + 16x3)

Combine like terms: 32x2 + 20x2 = 52x2
y = (-40 + 8x + 52x2 + 16x3)

Solving
y = -40 + 8x + 52x2 + 16x3

Solving for variable 'y'.

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

Simplifying
y = -40 + 8x + 52x2 + 16x3

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