t^2=30t-29

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Solution for t^2=30t-29 equation:


Simplifying
t2 = 30t + -29

Reorder the terms:
t2 = -29 + 30t

Solving
t2 = -29 + 30t

Solving for variable 't'.

Reorder the terms:
29 + -30t + t2 = -29 + 30t + 29 + -30t

Reorder the terms:
29 + -30t + t2 = -29 + 29 + 30t + -30t

Combine like terms: -29 + 29 = 0
29 + -30t + t2 = 0 + 30t + -30t
29 + -30t + t2 = 30t + -30t

Combine like terms: 30t + -30t = 0
29 + -30t + t2 = 0

Factor a trinomial.
(1 + -1t)(29 + -1t) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(29 + -1t)' equal to zero and attempt to solve: Simplifying 29 + -1t = 0 Solving 29 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1t = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1t = 0 + -29 -1t = 0 + -29 Combine like terms: 0 + -29 = -29 -1t = -29 Divide each side by '-1'. t = 29 Simplifying t = 29

Solution

t = {1, 29}

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