0=-76+70t-16(t*t)

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Solution for 0=-76+70t-16(t*t) equation: 


Simplifying
0 = -76 + 70t + -16(t * t)

Multiply t * t
0 = -76 + 70t + -16(t2)

Solving
0 = -76 + 70t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 76 = 76
76 + -70t + 16t2 = -76 + 70t + -16t2 + 76 + -70t + 16t2

Reorder the terms:
76 + -70t + 16t2 = -76 + 76 + 70t + -70t + -16t2 + 16t2

Combine like terms: -76 + 76 = 0
76 + -70t + 16t2 = 0 + 70t + -70t + -16t2 + 16t2
76 + -70t + 16t2 = 70t + -70t + -16t2 + 16t2

Combine like terms: 70t + -70t = 0
76 + -70t + 16t2 = 0 + -16t2 + 16t2
76 + -70t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
76 + -70t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(38 + -35t + 8t2) = 0

Factor a trinomial.
2((2 + -1t)(19 + -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 '(19 + -8t)' equal to zero and attempt to solve:

Simplifying
19 + -8t = 0

Solving
19 + -8t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-19' to each side of the equation.
19 + -19 + -8t = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -8t = 0 + -19
-8t = 0 + -19

Combine like terms: 0 + -19 = -19
-8t = -19

Divide each side by '-8'.
t = 2.375

Simplifying
t = 2.375
Solution
t = {2, 2.375}

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