7t^2+3=10t

Solution for 7t^2+3=10t equation:

Simplifying
7t2 + 3 = 10t

Reorder the terms:
3 + 7t2 = 10t

Solving
3 + 7t2 = 10t

Solving for variable 't'.

Reorder the terms:
3 + -10t + 7t2 = 10t + -10t

Combine like terms: 10t + -10t = 0
3 + -10t + 7t2 = 0

Factor a trinomial.
(3 + -7t)(1 + -1t) = 0

Subproblem 1
Set the factor '(3 + -7t)' equal to zero and attempt to solve:

Simplifying
3 + -7t = 0

Solving
3 + -7t = 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 + -7t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7t = 0 + -3
-7t = 0 + -3

Combine like terms: 0 + -3 = -3
-7t = -3

Divide each side by '-7'.
t = 0.4285714286

Simplifying
t = 0.4285714286
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 = {0.4285714286, 1}