2x^2=3(1.4142x-2)

Solution for 2x^2=3(1.4142x-2) equation:

Simplifying
2x2 = 3(1.4142x + -2)

Reorder the terms:
2x2 = 3(-2 + 1.4142x)
2x2 = (-2 * 3 + 1.4142x * 3)
2x2 = (-6 + 4.2426x)

Solving
2x2 = -6 + 4.2426x

Solving for variable 'x'.

Reorder the terms:
6 + -4.2426x + 2x2 = -6 + 4.2426x + 6 + -4.2426x

Reorder the terms:
6 + -4.2426x + 2x2 = -6 + 6 + 4.2426x + -4.2426x

Combine like terms: -6 + 6 = 0
6 + -4.2426x + 2x2 = 0 + 4.2426x + -4.2426x
6 + -4.2426x + 2x2 = 4.2426x + -4.2426x

Combine like terms: 4.2426x + -4.2426x = 0.0000
6 + -4.2426x + 2x2 = 0.0000

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

Divide each side by '2'.
3 + -2.1213x + x2 = 0.0000

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.1213x + -3 + x2 = 0.0000 + -3

Reorder the terms:
3 + -3 + -2.1213x + x2 = 0.0000 + -3

Combine like terms: 3 + -3 = 0
0 + -2.1213x + x2 = 0.0000 + -3
-2.1213x + x2 = 0.0000 + -3

Combine like terms: 0.0000 + -3 = -3
-2.1213x + x2 = -3

The x term is -2.1213x.  Take half its coefficient (-1.06065).
Square it (1.124978423) and add it to both sides.

Add '1.124978423' to each side of the equation.
-2.1213x + 1.124978423 + x2 = -3 + 1.124978423

Reorder the terms:
1.124978423 + -2.1213x + x2 = -3 + 1.124978423

Combine like terms: -3 + 1.124978423 = -1.875021577
1.124978423 + -2.1213x + x2 = -1.875021577

Factor a perfect square on the left side:
(x + -1.06065)(x + -1.06065) = -1.875021577

Can't calculate square root of the right side.

The solution to this equation could not be determined.