2x^2-10x=-38-98

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Solution for 2x^2-10x=-38-98 equation: 


Simplifying
2x2 + -10x = -38 + -98

Reorder the terms:
-10x + 2x2 = -38 + -98

Combine like terms: -38 + -98 = -136
-10x + 2x2 = -136

Solving
-10x + 2x2 = -136

Solving for variable 'x'.

Reorder the terms:
136 + -10x + 2x2 = -136 + 136

Combine like terms: -136 + 136 = 0
136 + -10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(68 + -5x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(68 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
68 + -5x + x2 = 0

Solving
68 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-68' to each side of the equation.
68 + -5x + -68 + x2 = 0 + -68

Reorder the terms:
68 + -68 + -5x + x2 = 0 + -68

Combine like terms: 68 + -68 = 0
0 + -5x + x2 = 0 + -68
-5x + x2 = 0 + -68

Combine like terms: 0 + -68 = -68
-5x + x2 = -68

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -68 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -68 + 6.25

Combine like terms: -68 + 6.25 = -61.75
6.25 + -5x + x2 = -61.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -61.75

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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