a+120=2(x+7)(x-3)

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Solution for a+120=2(x+7)(x-3) equation: 


Simplifying
a + 120 = 2(x + 7)(x + -3)

Reorder the terms:
120 + a = 2(x + 7)(x + -3)

Reorder the terms:
120 + a = 2(7 + x)(x + -3)

Reorder the terms:
120 + a = 2(7 + x)(-3 + x)

Multiply (7 + x) * (-3 + x)
120 + a = 2(7(-3 + x) + x(-3 + x))
120 + a = 2((-3 * 7 + x * 7) + x(-3 + x))
120 + a = 2((-21 + 7x) + x(-3 + x))
120 + a = 2(-21 + 7x + (-3 * x + x * x))
120 + a = 2(-21 + 7x + (-3x + x2))

Combine like terms: 7x + -3x = 4x
120 + a = 2(-21 + 4x + x2)
120 + a = (-21 * 2 + 4x * 2 + x2 * 2)
120 + a = (-42 + 8x + 2x2)

Solving
120 + a = -42 + 8x + 2x2

Solving for variable 'a'.

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

Add '-120' to each side of the equation.
120 + -120 + a = -42 + 8x + -120 + 2x2

Combine like terms: 120 + -120 = 0
0 + a = -42 + 8x + -120 + 2x2
a = -42 + 8x + -120 + 2x2

Reorder the terms:
a = -42 + -120 + 8x + 2x2

Combine like terms: -42 + -120 = -162
a = -162 + 8x + 2x2

Simplifying
a = -162 + 8x + 2x2

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