C=(6t+2)*(6t+2)-(2t-6)*(2t-6)

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Solution for C=(6t+2)*(6t+2)-(2t-6)*(2t-6) equation:


Simplifying
C = (6t + 2)(6t + 2) + -1(2t + -6)(2t + -6)

Reorder the terms:
C = (2 + 6t)(6t + 2) + -1(2t + -6)(2t + -6)

Reorder the terms:
C = (2 + 6t)(2 + 6t) + -1(2t + -6)(2t + -6)

Multiply (2 + 6t) * (2 + 6t)
C = (2(2 + 6t) + 6t * (2 + 6t)) + -1(2t + -6)(2t + -6)
C = ((2 * 2 + 6t * 2) + 6t * (2 + 6t)) + -1(2t + -6)(2t + -6)
C = ((4 + 12t) + 6t * (2 + 6t)) + -1(2t + -6)(2t + -6)
C = (4 + 12t + (2 * 6t + 6t * 6t)) + -1(2t + -6)(2t + -6)
C = (4 + 12t + (12t + 36t2)) + -1(2t + -6)(2t + -6)

Combine like terms: 12t + 12t = 24t
C = (4 + 24t + 36t2) + -1(2t + -6)(2t + -6)

Reorder the terms:
C = 4 + 24t + 36t2 + -1(-6 + 2t)(2t + -6)

Reorder the terms:
C = 4 + 24t + 36t2 + -1(-6 + 2t)(-6 + 2t)

Multiply (-6 + 2t) * (-6 + 2t)
C = 4 + 24t + 36t2 + -1(-6(-6 + 2t) + 2t * (-6 + 2t))
C = 4 + 24t + 36t2 + -1((-6 * -6 + 2t * -6) + 2t * (-6 + 2t))
C = 4 + 24t + 36t2 + -1((36 + -12t) + 2t * (-6 + 2t))
C = 4 + 24t + 36t2 + -1(36 + -12t + (-6 * 2t + 2t * 2t))
C = 4 + 24t + 36t2 + -1(36 + -12t + (-12t + 4t2))

Combine like terms: -12t + -12t = -24t
C = 4 + 24t + 36t2 + -1(36 + -24t + 4t2)
C = 4 + 24t + 36t2 + (36 * -1 + -24t * -1 + 4t2 * -1)
C = 4 + 24t + 36t2 + (-36 + 24t + -4t2)

Reorder the terms:
C = 4 + -36 + 24t + 24t + 36t2 + -4t2

Combine like terms: 4 + -36 = -32
C = -32 + 24t + 24t + 36t2 + -4t2

Combine like terms: 24t + 24t = 48t
C = -32 + 48t + 36t2 + -4t2

Combine like terms: 36t2 + -4t2 = 32t2
C = -32 + 48t + 32t2

Solving
C = -32 + 48t + 32t2

Solving for variable 'C'.

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

Simplifying
C = -32 + 48t + 32t2

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