3=2x^2+7x+6

Solution for 3=2x^2+7x+6 equation:

Simplifying
3 = 2x2 + 7x + 6

Reorder the terms:
3 = 6 + 7x + 2x2

Solving
3 = 6 + 7x + 2x2

Solving for variable 'x'.

Combine like terms: 3 + -6 = -3
-3 + -7x + -2x2 = 6 + 7x + 2x2 + -6 + -7x + -2x2

Reorder the terms:
-3 + -7x + -2x2 = 6 + -6 + 7x + -7x + 2x2 + -2x2

Combine like terms: 6 + -6 = 0
-3 + -7x + -2x2 = 0 + 7x + -7x + 2x2 + -2x2
-3 + -7x + -2x2 = 7x + -7x + 2x2 + -2x2

Combine like terms: 7x + -7x = 0
-3 + -7x + -2x2 = 0 + 2x2 + -2x2
-3 + -7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + -7x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 7x + 2x2) = 0

Factor a trinomial.
-1((3 + x)(1 + 2x)) = 0

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

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Subproblem 2
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
Solution
x = {-3, -0.5}