14x^2-13x+42=x

Solution for 14x^2-13x+42=x equation:

Simplifying
14x2 + -13x + 42 = x

Reorder the terms:
42 + -13x + 14x2 = x

Solving
42 + -13x + 14x2 = x

Solving for variable 'x'.

Reorder the terms:
42 + -13x + -1x + 14x2 = x + -1x

Combine like terms: -13x + -1x = -14x
42 + -14x + 14x2 = x + -1x

Combine like terms: x + -1x = 0
42 + -14x + 14x2 = 0

Factor out the Greatest Common Factor (GCF), '14'.
14(3 + -1x + x2) = 0

Ignore the factor 14.
Subproblem 1
Set the factor '(3 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
3 + -1x + x2 = 0

Solving
3 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -1x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -1x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x + x2 = 0 + -3
-1x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x + x2 = -3

The x term is -1x.  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.
-1x + 0.25 + x2 = -3 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + -1x + x2 = -2.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2.75

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.