-16t^2+30t+4=0

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Solution for -16t^2+30t+4=0 equation:


Simplifying
-16t2 + 30t + 4 = 0

Reorder the terms:
4 + 30t + -16t2 = 0

Solving
4 + 30t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 15t + -8t2) = 0

Factor a trinomial.
2((2 + -1t)(1 + 8t)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2

Subproblem 2

Set the factor '(1 + 8t)' equal to zero and attempt to solve: Simplifying 1 + 8t = 0 Solving 1 + 8t = 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 + 8t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8t = 0 + -1 8t = 0 + -1 Combine like terms: 0 + -1 = -1 8t = -1 Divide each side by '8'. t = -0.125 Simplifying t = -0.125

Solution

t = {2, -0.125}

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