7t^2-2t=5

Solution for 7t^2-2t=5 equation:

Simplifying
7t2 + -2t = 5

Reorder the terms:
-2t + 7t2 = 5

Solving
-2t + 7t2 = 5

Solving for variable 't'.

Reorder the terms:
-5 + -2t + 7t2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -2t + 7t2 = 0

Factor a trinomial.
(-5 + -7t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-5 + -7t)' equal to zero and attempt to solve:

Simplifying
-5 + -7t = 0

Solving
-5 + -7t = 0

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

Add '5' to each side of the equation.
-5 + 5 + -7t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7t = 0 + 5
-7t = 0 + 5

Combine like terms: 0 + 5 = 5
-7t = 5

Divide each side by '-7'.
t = -0.7142857143

Simplifying
t = -0.7142857143
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 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 + -1t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1t = 0 + -1
-1t = 0 + -1

Combine like terms: 0 + -1 = -1
-1t = -1

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Solution
t = {-0.7142857143, 1}