5x^2+6x-4-14x^2=

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Solution for 5x^2+6x-4-14x^2= equation:


Simplifying
5x2 + 6x + -4 + -14x2 = 0

Reorder the terms:
-4 + 6x + 5x2 + -14x2 = 0

Combine like terms: 5x2 + -14x2 = -9x2
-4 + 6x + -9x2 = 0

Solving
-4 + 6x + -9x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.4444444444 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -0.6666666667x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -0.6666666667x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.4444444444
-0.6666666667x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-0.6666666667x + x2 = -0.4444444444

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.4444444444 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.4444444444 + 0.1111111112

Combine like terms: -0.4444444444 + 0.1111111112 = -0.3333333332
0.1111111112 + -0.6666666667x + x2 = -0.3333333332

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.3333333332

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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