1400=(30+2t)t

Solution for 1400=(30+2t)t equation:

Simplifying
1400 = (30 + 2t) * t

Reorder the terms for easier multiplication:
1400 = t(30 + 2t)
1400 = (30 * t + 2t * t)
1400 = (30t + 2t2)

Solving
1400 = 30t + 2t2

Solving for variable 't'.

Reorder the terms:
1400 + -30t + -2t2 = 30t + -30t + 2t2 + -2t2

Combine like terms: 30t + -30t = 0
1400 + -30t + -2t2 = 0 + 2t2 + -2t2
1400 + -30t + -2t2 = 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
1400 + -30t + -2t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(700 + -15t + -1t2) = 0

Factor a trinomial.
2((20 + -1t)(35 + t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(20 + -1t)' equal to zero and attempt to solve:

Simplifying
20 + -1t = 0

Solving
20 + -1t = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1t = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1t = 0 + -20
-1t = 0 + -20

Combine like terms: 0 + -20 = -20
-1t = -20

Divide each side by '-1'.
t = 20

Simplifying
t = 20
Subproblem 2
Set the factor '(35 + t)' equal to zero and attempt to solve:

Simplifying
35 + t = 0

Solving
35 + t = 0

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

Add '-35' to each side of the equation.
35 + -35 + t = 0 + -35

Combine like terms: 35 + -35 = 0
0 + t = 0 + -35
t = 0 + -35

Combine like terms: 0 + -35 = -35
t = -35

Simplifying
t = -35
Solution
t = {20, -35}