2x^2-20x+37=-21

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Solution for 2x^2-20x+37=-21 equation: 


Simplifying
2x2 + -20x + 37 = -21

Reorder the terms:
37 + -20x + 2x2 = -21

Solving
37 + -20x + 2x2 = -21

Solving for variable 'x'.

Reorder the terms:
37 + 21 + -20x + 2x2 = -21 + 21

Combine like terms: 37 + 21 = 58
58 + -20x + 2x2 = -21 + 21

Combine like terms: -21 + 21 = 0
58 + -20x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(29 + -10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(29 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
29 + -10x + x2 = 0

Solving
29 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + -10x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + -10x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -10x + x2 = 0 + -29
-10x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
-10x + x2 = -29

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -29 + 25

Reorder the terms:
25 + -10x + x2 = -29 + 25

Combine like terms: -29 + 25 = -4
25 + -10x + x2 = -4

Factor a perfect square on the left side:
(x + -5)(x + -5) = -4

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.

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