14t^2+5t=9

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Solution for 14t^2+5t=9 equation:


Simplifying
14t2 + 5t = 9

Reorder the terms:
5t + 14t2 = 9

Solving
5t + 14t2 = 9

Solving for variable 't'.

Reorder the terms:
-9 + 5t + 14t2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 5t + 14t2 = 0

Factor a trinomial.
(-1 + -1t)(9 + -14t) = 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 '(9 + -14t)' equal to zero and attempt to solve: Simplifying 9 + -14t = 0 Solving 9 + -14t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -14t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14t = 0 + -9 -14t = 0 + -9 Combine like terms: 0 + -9 = -9 -14t = -9 Divide each side by '-14'. t = 0.6428571429 Simplifying t = 0.6428571429

Solution

t = {-1, 0.6428571429}

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