x=10x^2-2x+34

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Solution for x=10x^2-2x+34 equation: 


Simplifying
x = 10x2 + -2x + 34

Reorder the terms:
x = 34 + -2x + 10x2

Solving
x = 34 + -2x + 10x2

Solving for variable 'x'.

Reorder the terms:
-34 + x + 2x + -10x2 = 34 + -2x + 10x2 + -34 + 2x + -10x2

Combine like terms: x + 2x = 3x
-34 + 3x + -10x2 = 34 + -2x + 10x2 + -34 + 2x + -10x2

Reorder the terms:
-34 + 3x + -10x2 = 34 + -34 + -2x + 2x + 10x2 + -10x2

Combine like terms: 34 + -34 = 0
-34 + 3x + -10x2 = 0 + -2x + 2x + 10x2 + -10x2
-34 + 3x + -10x2 = -2x + 2x + 10x2 + -10x2

Combine like terms: -2x + 2x = 0
-34 + 3x + -10x2 = 0 + 10x2 + -10x2
-34 + 3x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-34 + 3x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
3.4 + -0.3x + x2 = 0

Move the constant term to the right:

Add '-3.4' to each side of the equation.
3.4 + -0.3x + -3.4 + x2 = 0 + -3.4

Reorder the terms:
3.4 + -3.4 + -0.3x + x2 = 0 + -3.4

Combine like terms: 3.4 + -3.4 = 0.0
0.0 + -0.3x + x2 = 0 + -3.4
-0.3x + x2 = 0 + -3.4

Combine like terms: 0 + -3.4 = -3.4
-0.3x + x2 = -3.4

The x term is -0.3x.  Take half its coefficient (-0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
-0.3x + 0.0225 + x2 = -3.4 + 0.0225

Reorder the terms:
0.0225 + -0.3x + x2 = -3.4 + 0.0225

Combine like terms: -3.4 + 0.0225 = -3.3775
0.0225 + -0.3x + x2 = -3.3775

Factor a perfect square on the left side:
(x + -0.15)(x + -0.15) = -3.3775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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