14x^2+9x+2=10x+6

Solution for 14x^2+9x+2=10x+6 equation:

Simplifying
14x2 + 9x + 2 = 10x + 6

Reorder the terms:
2 + 9x + 14x2 = 10x + 6

Reorder the terms:
2 + 9x + 14x2 = 6 + 10x

Solving
2 + 9x + 14x2 = 6 + 10x

Solving for variable 'x'.

Reorder the terms:
2 + -6 + 9x + -10x + 14x2 = 6 + 10x + -6 + -10x

Combine like terms: 2 + -6 = -4
-4 + 9x + -10x + 14x2 = 6 + 10x + -6 + -10x

Combine like terms: 9x + -10x = -1x
-4 + -1x + 14x2 = 6 + 10x + -6 + -10x

Reorder the terms:
-4 + -1x + 14x2 = 6 + -6 + 10x + -10x

Combine like terms: 6 + -6 = 0
-4 + -1x + 14x2 = 0 + 10x + -10x
-4 + -1x + 14x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-4 + -1x + 14x2 = 0

Factor a trinomial.
(-1 + -2x)(4 + -7x) = 0

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Solution
x = {-0.5, 0.5714285714}