3t^2+10t-48=0

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Solution for 3t^2+10t-48=0 equation:


Simplifying
3t2 + 10t + -48 = 0

Reorder the terms:
-48 + 10t + 3t2 = 0

Solving
-48 + 10t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-6 + -1t)(8 + -3t) = 0

Subproblem 1

Set the factor '(-6 + -1t)' equal to zero and attempt to solve: Simplifying -6 + -1t = 0 Solving -6 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1t = 0 + 6 -1t = 0 + 6 Combine like terms: 0 + 6 = 6 -1t = 6 Divide each side by '-1'. t = -6 Simplifying t = -6

Subproblem 2

Set the factor '(8 + -3t)' equal to zero and attempt to solve: Simplifying 8 + -3t = 0 Solving 8 + -3t = 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 + -3t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = 0 + -8 -3t = 0 + -8 Combine like terms: 0 + -8 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667

Solution

t = {-6, 2.666666667}

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