t*t+3t=40

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Solution for t*t+3t=40 equation:


Simplifying
t * t + 3t = 40

Multiply t * t
t2 + 3t = 40

Reorder the terms:
3t + t2 = 40

Solving
3t + t2 = 40

Solving for variable 't'.

Reorder the terms:
-40 + 3t + t2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 3t + t2 = 0

Factor a trinomial.
(-8 + -1t)(5 + -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 '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5

Solution

t = {-8, 5}

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