2+24t+72t^2=0

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Solution for 2+24t+72t^2=0 equation:


Simplifying
2 + 24t + 72t2 = 0

Solving
2 + 24t + 72t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 12t + 36t2) = 0

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

Ignore the factor 2.

Subproblem 1

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

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 = {-0.1666666667, -0.1666666667}

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