2x^2+10=4x-16

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Solution for 2x^2+10=4x-16 equation: 


Simplifying
2x2 + 10 = 4x + -16

Reorder the terms:
10 + 2x2 = 4x + -16

Reorder the terms:
10 + 2x2 = -16 + 4x

Solving
10 + 2x2 = -16 + 4x

Solving for variable 'x'.

Reorder the terms:
10 + 16 + -4x + 2x2 = -16 + 4x + 16 + -4x

Combine like terms: 10 + 16 = 26
26 + -4x + 2x2 = -16 + 4x + 16 + -4x

Reorder the terms:
26 + -4x + 2x2 = -16 + 16 + 4x + -4x

Combine like terms: -16 + 16 = 0
26 + -4x + 2x2 = 0 + 4x + -4x
26 + -4x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
26 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(13 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(13 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
13 + -2x + x2 = 0

Solving
13 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -2x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -2x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2x + x2 = 0 + -13
-2x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-2x + x2 = -13

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -13 + 1

Reorder the terms:
1 + -2x + x2 = -13 + 1

Combine like terms: -13 + 1 = -12
1 + -2x + x2 = -12

Factor a perfect square on the left side:
(x + -1)(x + -1) = -12

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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