5=3x^2+14x

Solution for 5=3x^2+14x equation:

Simplifying
5 = 3x2 + 14x

Reorder the terms:
5 = 14x + 3x2

Solving
5 = 14x + 3x2

Solving for variable 'x'.

Reorder the terms:
5 + -14x + -3x2 = 14x + -14x + 3x2 + -3x2

Combine like terms: 14x + -14x = 0
5 + -14x + -3x2 = 0 + 3x2 + -3x2
5 + -14x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + -14x + -3x2 = 0

Factor a trinomial.
(1 + -3x)(5 + x) = 0

Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {0.3333333333, -5}