x=5x^2-1.5x+2

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Solution for x=5x^2-1.5x+2 equation: 


Simplifying
x = 5x2 + -1.5x + 2

Reorder the terms:
x = 2 + -1.5x + 5x2

Solving
x = 2 + -1.5x + 5x2

Solving for variable 'x'.

Reorder the terms:
-2 + x + 1.5x + -5x2 = 2 + -1.5x + 5x2 + -2 + 1.5x + -5x2

Combine like terms: x + 1.5x = 2.5x
-2 + 2.5x + -5x2 = 2 + -1.5x + 5x2 + -2 + 1.5x + -5x2

Reorder the terms:
-2 + 2.5x + -5x2 = 2 + -2 + -1.5x + 1.5x + 5x2 + -5x2

Combine like terms: 2 + -2 = 0
-2 + 2.5x + -5x2 = 0 + -1.5x + 1.5x + 5x2 + -5x2
-2 + 2.5x + -5x2 = -1.5x + 1.5x + 5x2 + -5x2

Combine like terms: -1.5x + 1.5x = 0.0
-2 + 2.5x + -5x2 = 0.0 + 5x2 + -5x2
-2 + 2.5x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-2 + 2.5x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.4 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.5x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.5x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.5x + x2 = 0 + -0.4
-0.5x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.5x + x2 = -0.4

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.4 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.4 + 0.0625

Combine like terms: -0.4 + 0.0625 = -0.3375
0.0625 + -0.5x + x2 = -0.3375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.3375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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