q(x)=(x+7)(x-5)

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Solution for q(x)=(x+7)(x-5) equation:


Simplifying
q(x) = (x + 7)(x + -5)

Multiply q * x
qx = (x + 7)(x + -5)

Reorder the terms:
qx = (7 + x)(x + -5)

Reorder the terms:
qx = (7 + x)(-5 + x)

Multiply (7 + x) * (-5 + x)
qx = (7(-5 + x) + x(-5 + x))
qx = ((-5 * 7 + x * 7) + x(-5 + x))
qx = ((-35 + 7x) + x(-5 + x))
qx = (-35 + 7x + (-5 * x + x * x))
qx = (-35 + 7x + (-5x + x2))

Combine like terms: 7x + -5x = 2x
qx = (-35 + 2x + x2)

Solving
qx = -35 + 2x + x2

Solving for variable 'q'.

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

Divide each side by 'x'.
q = -35x-1 + 2 + x

Simplifying
q = -35x-1 + 2 + x

Reorder the terms:
q = 2 + -35x-1 + x

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