14x^2+6=-25x

Solution for 14x^2+6=-25x equation:

Simplifying
14x2 + 6 = -25x

Reorder the terms:
6 + 14x2 = -25x

Solving
6 + 14x2 = -25x

Solving for variable 'x'.

Reorder the terms:
6 + 25x + 14x2 = -25x + 25x

Combine like terms: -25x + 25x = 0
6 + 25x + 14x2 = 0

Factor a trinomial.
(3 + 2x)(2 + 7x) = 0

Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve:

Simplifying
2 + 7x = 0

Solving
2 + 7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 0 + -2
7x = 0 + -2

Combine like terms: 0 + -2 = -2
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
Solution
x = {-1.5, -0.2857142857}