x^2=0.5(7x-12)

Solution for x^2=0.5(7x-12) equation:

Simplifying
x2 = 0.5(7x + -12)

Reorder the terms:
x2 = 0.5(-12 + 7x)
x2 = (-12 * 0.5 + 7x * 0.5)
x2 = (-6 + 3.5x)

Solving
x2 = -6 + 3.5x

Solving for variable 'x'.

Reorder the terms:
6 + -3.5x + x2 = -6 + 3.5x + 6 + -3.5x

Reorder the terms:
6 + -3.5x + x2 = -6 + 6 + 3.5x + -3.5x

Combine like terms: -6 + 6 = 0
6 + -3.5x + x2 = 0 + 3.5x + -3.5x
6 + -3.5x + x2 = 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
6 + -3.5x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.5x + -6 + x2 = 0.0 + -6

Reorder the terms:
6 + -6 + -3.5x + x2 = 0.0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.5x + x2 = 0.0 + -6
-3.5x + x2 = 0.0 + -6

Combine like terms: 0.0 + -6 = -6
-3.5x + x2 = -6

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -6 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -6 + 3.0625

Combine like terms: -6 + 3.0625 = -2.9375
3.0625 + -3.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.