t^2+12t=36findt

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Solution for t^2+12t=36findt equation:


Simplifying
t2 + 12t = 36findt

Reorder the terms:
12t + t2 = 36findt

Solving
12t + t2 = 36dfint

Solving for variable 't'.

Reorder the terms:
-36dfint + 12t + t2 = 36dfint + -36dfint

Combine like terms: 36dfint + -36dfint = 0
-36dfint + 12t + t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-36dfin + 12 + t) = 0

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(-36dfin + 12 + t)' equal to zero and attempt to solve: Simplifying -36dfin + 12 + t = 0 Reorder the terms: 12 + -36dfin + t = 0 Solving 12 + -36dfin + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -36dfin + -12 + t = 0 + -12 Reorder the terms: 12 + -12 + -36dfin + t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -36dfin + t = 0 + -12 -36dfin + t = 0 + -12 Combine like terms: 0 + -12 = -12 -36dfin + t = -12 Add '36dfin' to each side of the equation. -36dfin + 36dfin + t = -12 + 36dfin Combine like terms: -36dfin + 36dfin = 0 0 + t = -12 + 36dfin t = -12 + 36dfin Simplifying t = -12 + 36dfin

Solution

t = {0, -12 + 36dfin}

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