6x+23=10x^2+26

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Solution for 6x+23=10x^2+26 equation:


Simplifying
6x + 23 = 10x2 + 26

Reorder the terms:
23 + 6x = 10x2 + 26

Reorder the terms:
23 + 6x = 26 + 10x2

Solving
23 + 6x = 26 + 10x2

Solving for variable 'x'.

Reorder the terms:
23 + -26 + 6x + -10x2 = 26 + 10x2 + -26 + -10x2

Combine like terms: 23 + -26 = -3
-3 + 6x + -10x2 = 26 + 10x2 + -26 + -10x2

Reorder the terms:
-3 + 6x + -10x2 = 26 + -26 + 10x2 + -10x2

Combine like terms: 26 + -26 = 0
-3 + 6x + -10x2 = 0 + 10x2 + -10x2
-3 + 6x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-3 + 6x + -10x2 = 0

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

Divide each side by '-10'.
0.3 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -0.6x + -0.3 + x2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + -0.6x + x2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.6x + x2 = 0 + -0.3
-0.6x + x2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
-0.6x + x2 = -0.3

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.3 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.3 + 0.09

Combine like terms: -0.3 + 0.09 = -0.21
0.09 + -0.6x + x2 = -0.21

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.21

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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