7x+6=-10x^2

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Solution for 7x+6=-10x^2 equation:


Simplifying
7x + 6 = -10x2

Reorder the terms:
6 + 7x = -10x2

Solving
6 + 7x = -10x2

Solving for variable 'x'.

Combine like terms: -10x2 + 10x2 = 0
6 + 7x + 10x2 = 0

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

Divide each side by '10'.
0.6 + 0.7x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.7x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.7x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.7x + x2 = 0 + -0.6
0.7x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
0.7x + x2 = -0.6

The x term is 0.7x.  Take half its coefficient (0.35).
Square it (0.1225) and add it to both sides.

Add '0.1225' to each side of the equation.
0.7x + 0.1225 + x2 = -0.6 + 0.1225

Reorder the terms:
0.1225 + 0.7x + x2 = -0.6 + 0.1225

Combine like terms: -0.6 + 0.1225 = -0.4775
0.1225 + 0.7x + x2 = -0.4775

Factor a perfect square on the left side:
(x + 0.35)(x + 0.35) = -0.4775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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