y=(4x+7)(x-1)

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Solution for y=(4x+7)(x-1) equation:


Simplifying
y = (4x + 7)(x + -1)

Reorder the terms:
y = (7 + 4x)(x + -1)

Reorder the terms:
y = (7 + 4x)(-1 + x)

Multiply (7 + 4x) * (-1 + x)
y = (7(-1 + x) + 4x * (-1 + x))
y = ((-1 * 7 + x * 7) + 4x * (-1 + x))
y = ((-7 + 7x) + 4x * (-1 + x))
y = (-7 + 7x + (-1 * 4x + x * 4x))
y = (-7 + 7x + (-4x + 4x2))

Combine like terms: 7x + -4x = 3x
y = (-7 + 3x + 4x2)

Solving
y = -7 + 3x + 4x2

Solving for variable 'y'.

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

Simplifying
y = -7 + 3x + 4x2

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