2x^2-12x+42=16

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Solution for 2x^2-12x+42=16 equation: 


Simplifying
2x2 + -12x + 42 = 16

Reorder the terms:
42 + -12x + 2x2 = 16

Solving
42 + -12x + 2x2 = 16

Solving for variable 'x'.

Reorder the terms:
42 + -16 + -12x + 2x2 = 16 + -16

Combine like terms: 42 + -16 = 26
26 + -12x + 2x2 = 16 + -16

Combine like terms: 16 + -16 = 0
26 + -12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(13 + -6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(13 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
13 + -6x + x2 = 0

Solving
13 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -6x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -6x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6x + x2 = 0 + -13
-6x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-6x + x2 = -13

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -13 + 9

Reorder the terms:
9 + -6x + x2 = -13 + 9

Combine like terms: -13 + 9 = -4
9 + -6x + x2 = -4

Factor a perfect square on the left side:
(x + -3)(x + -3) = -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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