c(t)=(-t^2+1)*(t-9)-16t+59

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Solution for c(t)=(-t^2+1)*(t-9)-16t+59 equation: 


Simplifying
c(t) = (-1t2 + 1)(t + -9) + -16t + 59

Multiply c * t
ct = (-1t2 + 1)(t + -9) + -16t + 59

Reorder the terms:
ct = (1 + -1t2)(t + -9) + -16t + 59

Reorder the terms:
ct = (1 + -1t2)(-9 + t) + -16t + 59

Multiply (1 + -1t2) * (-9 + t)
ct = (1(-9 + t) + -1t2 * (-9 + t)) + -16t + 59
ct = ((-9 * 1 + t * 1) + -1t2 * (-9 + t)) + -16t + 59
ct = ((-9 + 1t) + -1t2 * (-9 + t)) + -16t + 59
ct = (-9 + 1t + (-9 * -1t2 + t * -1t2)) + -16t + 59
ct = (-9 + 1t + (9t2 + -1t3)) + -16t + 59
ct = (-9 + 1t + 9t2 + -1t3) + -16t + 59

Reorder the terms:
ct = -9 + 59 + 1t + -16t + 9t2 + -1t3

Combine like terms: -9 + 59 = 50
ct = 50 + 1t + -16t + 9t2 + -1t3

Combine like terms: 1t + -16t = -15t
ct = 50 + -15t + 9t2 + -1t3

Solving
ct = 50 + -15t + 9t2 + -1t3

Solving for variable 'c'.

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

Divide each side by 't'.
c = 50t-1 + -15 + 9t + -1t2

Simplifying
c = 50t-1 + -15 + 9t + -1t2

Reorder the terms:
c = -15 + 50t-1 + 9t + -1t2

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