50=20(a)(a)+4a+58

Solution for 50=20(a)(a)+4a+58 equation:

Simplifying
50 = 20(a)(a) + 4a + 58

Multiply a * a
50 = 20a2 + 4a + 58

Reorder the terms:
50 = 58 + 4a + 20a2

Solving
50 = 58 + 4a + 20a2

Solving for variable 'a'.

Combine like terms: 50 + -58 = -8
-8 + -4a + -20a2 = 58 + 4a + 20a2 + -58 + -4a + -20a2

Reorder the terms:
-8 + -4a + -20a2 = 58 + -58 + 4a + -4a + 20a2 + -20a2

Combine like terms: 58 + -58 = 0
-8 + -4a + -20a2 = 0 + 4a + -4a + 20a2 + -20a2
-8 + -4a + -20a2 = 4a + -4a + 20a2 + -20a2

Combine like terms: 4a + -4a = 0
-8 + -4a + -20a2 = 0 + 20a2 + -20a2
-8 + -4a + -20a2 = 20a2 + -20a2

Combine like terms: 20a2 + -20a2 = 0
-8 + -4a + -20a2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(2 + a + 5a2) = 0

Ignore the factor -4.
Subproblem 1
Set the factor '(2 + a + 5a2)' equal to zero and attempt to solve:

Simplifying
2 + a + 5a2 = 0

Solving
2 + a + 5a2 = 0

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

Divide each side by '5'.
0.4 + 0.2a + a2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 0.2a + -0.4 + a2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 0.2a + a2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.2a + a2 = 0 + -0.4
0.2a + a2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
0.2a + a2 = -0.4

The a term is a.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.2a + 0.25 + a2 = -0.4 + 0.25

Reorder the terms:
0.25 + 0.2a + a2 = -0.4 + 0.25

Combine like terms: -0.4 + 0.25 = -0.15
0.25 + 0.2a + a2 = -0.15

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -0.15

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.