0=-16t^2+4t+132

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Solution for 0=-16t^2+4t+132 equation:


Simplifying
0 = -16t2 + 4t + 132

Reorder the terms:
0 = 132 + 4t + -16t2

Solving
0 = 132 + 4t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -132 = -132
-132 + -4t + 16t2 = 132 + 4t + -16t2 + -132 + -4t + 16t2

Reorder the terms:
-132 + -4t + 16t2 = 132 + -132 + 4t + -4t + -16t2 + 16t2

Combine like terms: 132 + -132 = 0
-132 + -4t + 16t2 = 0 + 4t + -4t + -16t2 + 16t2
-132 + -4t + 16t2 = 4t + -4t + -16t2 + 16t2

Combine like terms: 4t + -4t = 0
-132 + -4t + 16t2 = 0 + -16t2 + 16t2
-132 + -4t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-132 + -4t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-33 + -1t + 4t2) = 0

Factor a trinomial.
4((-11 + -4t)(3 + -1t)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-11 + -4t)' equal to zero and attempt to solve: Simplifying -11 + -4t = 0 Solving -11 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4t = 0 + 11 -4t = 0 + 11 Combine like terms: 0 + 11 = 11 -4t = 11 Divide each side by '-4'. t = -2.75 Simplifying t = -2.75

Subproblem 2

Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3

Solution

t = {-2.75, 3}

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