6t square - 19t + 7
Answers
Answer:
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Answer:
Simplifying
6t2 = 7 + -19t
Solving
6t2 = 7 + -19t
Solving for variable 't'.
Reorder the terms:
-7 + 19t + 6t2 = 7 + -19t + -7 + 19t
Reorder the terms:
-7 + 19t + 6t2 = 7 + -7 + -19t + 19t
Combine like terms: 7 + -7 = 0
-7 + 19t + 6t2 = 0 + -19t + 19t
-7 + 19t + 6t2 = -19t + 19t
Combine like terms: -19t + 19t = 0
-7 + 19t + 6t2 = 0
Factor a trinomial.
(-7 + -2t)(1 + -3t) = 0
Subproblem 1
Set the factor '(-7 + -2t)' equal to zero and attempt to solve:
Simplifying
-7 + -2t = 0
Solving
-7 + -2t = 0
Move all terms containing t to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -2t = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -2t = 0 + 7
-2t = 0 + 7
Combine like terms: 0 + 7 = 7
-2t = 7
Divide each side by '-2'.
t = -3.5
Simplifying
t = -3.5
Subproblem 2
Set the factor '(1 + -3t)' equal to zero and attempt to solve:
Simplifying
1 + -3t = 0
Solving
1 + -3t = 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 + -3t = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -3t = 0 + -1
-3t = 0 + -1
Combine like terms: 0 + -1 = -1
-3t = -1
Divide each side by '-3'.
t = 0.3333333333
Simplifying
t = 0.3333333333
Solution
t = {-3.5, 0.3333333333}