t^2=32-4t

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Solution for t^2=32-4t equation:


Simplifying
t2 = 32 + -4t

Solving
t2 = 32 + -4t

Solving for variable 't'.

Reorder the terms:
-32 + 4t + t2 = 32 + -4t + -32 + 4t

Reorder the terms:
-32 + 4t + t2 = 32 + -32 + -4t + 4t

Combine like terms: 32 + -32 = 0
-32 + 4t + t2 = 0 + -4t + 4t
-32 + 4t + t2 = -4t + 4t

Combine like terms: -4t + 4t = 0
-32 + 4t + t2 = 0

Factor a trinomial.
(-8 + -1t)(4 + -1t) = 0

Subproblem 1

Set the factor '(-8 + -1t)' equal to zero and attempt to solve: Simplifying -8 + -1t = 0 Solving -8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = 0 + 8 -1t = 0 + 8 Combine like terms: 0 + 8 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8

Subproblem 2

Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4

Solution

t = {-8, 4}

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