-14x^2+6x=2.7

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Solution for -14x^2+6x=2.7 equation: 


Simplifying
-14x2 + 6x = 2.7

Reorder the terms:
6x + -14x2 = 2.7

Solving
6x + -14x2 = 2.7

Solving for variable 'x'.

Reorder the terms:
-2.7 + 6x + -14x2 = 2.7 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
-2.7 + 6x + -14x2 = 0.0

Begin completing the square.  Divide all terms by
-14 the coefficient of the squared term: 

Divide each side by '-14'.
0.1928571429 + -0.4285714286x + x2 = 0.0

Move the constant term to the right:

Add '-0.1928571429' to each side of the equation.
0.1928571429 + -0.4285714286x + -0.1928571429 + x2 = 0.0 + -0.1928571429

Reorder the terms:
0.1928571429 + -0.1928571429 + -0.4285714286x + x2 = 0.0 + -0.1928571429

Combine like terms: 0.1928571429 + -0.1928571429 = 0.0000000000
0.0000000000 + -0.4285714286x + x2 = 0.0 + -0.1928571429
-0.4285714286x + x2 = 0.0 + -0.1928571429

Combine like terms: 0.0 + -0.1928571429 = -0.1928571429
-0.4285714286x + x2 = -0.1928571429

The x term is -0.4285714286x.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286x + 0.04591836735 + x2 = -0.1928571429 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286x + x2 = -0.1928571429 + 0.04591836735

Combine like terms: -0.1928571429 + 0.04591836735 = -0.14693877555
0.04591836735 + -0.4285714286x + x2 = -0.14693877555

Factor a perfect square on the left side:
(x + -0.2142857143)(x + -0.2142857143) = -0.14693877555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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