0=-16t^2+50t-36

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Solution for 0=-16t^2+50t-36 equation:


Simplifying
0 = -16t2 + 50t + -36

Reorder the terms:
0 = -36 + 50t + -16t2

Solving
0 = -36 + 50t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 36 = 36
36 + -50t + 16t2 = -36 + 50t + -16t2 + 36 + -50t + 16t2

Reorder the terms:
36 + -50t + 16t2 = -36 + 36 + 50t + -50t + -16t2 + 16t2

Combine like terms: -36 + 36 = 0
36 + -50t + 16t2 = 0 + 50t + -50t + -16t2 + 16t2
36 + -50t + 16t2 = 50t + -50t + -16t2 + 16t2

Combine like terms: 50t + -50t = 0
36 + -50t + 16t2 = 0 + -16t2 + 16t2
36 + -50t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
36 + -50t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -25t + 8t2) = 0

Factor a trinomial.
2((9 + -8t)(2 + -1t)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + -8t)' equal to zero and attempt to solve: Simplifying 9 + -8t = 0 Solving 9 + -8t = 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 + -8t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8t = 0 + -9 -8t = 0 + -9 Combine like terms: 0 + -9 = -9 -8t = -9 Divide each side by '-8'. t = 1.125 Simplifying t = 1.125

Subproblem 2

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

Solution

t = {1.125, 2}

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