0=5x^2+7x+6

Solution for 0=5x^2+7x+6 equation:

Simplifying
0 = 5x2 + 7x + 6

Reorder the terms:
0 = 6 + 7x + 5x2

Solving
0 = 6 + 7x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + -7x + -5x2 = 6 + 7x + 5x2 + -6 + -7x + -5x2

Reorder the terms:
-6 + -7x + -5x2 = 6 + -6 + 7x + -7x + 5x2 + -5x2

Combine like terms: 6 + -6 = 0
-6 + -7x + -5x2 = 0 + 7x + -7x + 5x2 + -5x2
-6 + -7x + -5x2 = 7x + -7x + 5x2 + -5x2

Combine like terms: 7x + -7x = 0
-6 + -7x + -5x2 = 0 + 5x2 + -5x2
-6 + -7x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-6 + -7x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 7x + 5x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + 7x + 5x2)' equal to zero and attempt to solve:

Simplifying
6 + 7x + 5x2 = 0

Solving
6 + 7x + 5x2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
1.2 + 1.4x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 1.4x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 1.4x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.4x + x2 = 0 + -1.2
1.4x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
1.4x + x2 = -1.2

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = -1.2 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = -1.2 + 0.49

Combine like terms: -1.2 + 0.49 = -0.71
0.49 + 1.4x + x2 = -0.71

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = -0.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.