3x^2-14x=-18

Solution for 3x^2-14x=-18 equation:

Simplifying
3x2 + -14x = -18

Reorder the terms:
-14x + 3x2 = -18

Solving
-14x + 3x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + -14x + 3x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + -14x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
6 + -4.666666667x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4.666666667x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -4.666666667x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4.666666667x + x2 = 0 + -6
-4.666666667x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4.666666667x + x2 = -6

The x term is -4.666666667x.  Take half its coefficient (-2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
-4.666666667x + 5.444444448 + x2 = -6 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667x + x2 = -6 + 5.444444448

Combine like terms: -6 + 5.444444448 = -0.555555552
5.444444448 + -4.666666667x + x2 = -0.555555552

Factor a perfect square on the left side:
(x + -2.333333334)(x + -2.333333334) = -0.555555552

Can't calculate square root of the right side.

The solution to this equation could not be determined.