12t^2+52t-9=

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Solution for 12t^2+52t-9= equation:


Simplifying
12t2 + 52t + -9 = 0

Reorder the terms:
-9 + 52t + 12t2 = 0

Solving
-9 + 52t + 12t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-9 + -2t)(1 + -6t) = 0

Subproblem 1

Set the factor '(-9 + -2t)' equal to zero and attempt to solve: Simplifying -9 + -2t = 0 Solving -9 + -2t = 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 + -2t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2t = 0 + 9 -2t = 0 + 9 Combine like terms: 0 + 9 = 9 -2t = 9 Divide each side by '-2'. t = -4.5 Simplifying t = -4.5

Subproblem 2

Set the factor '(1 + -6t)' equal to zero and attempt to solve: Simplifying 1 + -6t = 0 Solving 1 + -6t = 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 + -6t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6t = 0 + -1 -6t = 0 + -1 Combine like terms: 0 + -1 = -1 -6t = -1 Divide each side by '-6'. t = 0.1666666667 Simplifying t = 0.1666666667

Solution

t = {-4.5, 0.1666666667}

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