2x^2=-10-7x

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


Simplifying
2x2 = -10 + -7x

Solving
2x2 = -10 + -7x

Solving for variable 'x'.

Reorder the terms:
10 + 7x + 2x2 = -10 + -7x + 10 + 7x

Reorder the terms:
10 + 7x + 2x2 = -10 + 10 + -7x + 7x

Combine like terms: -10 + 10 = 0
10 + 7x + 2x2 = 0 + -7x + 7x
10 + 7x + 2x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 7x + 2x2 = 0

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

Divide each side by '2'.
5 + 3.5x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 3.5x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 3.5x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3.5x + x2 = 0 + -5
3.5x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
3.5x + x2 = -5

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = -5 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = -5 + 3.0625

Combine like terms: -5 + 3.0625 = -1.9375
3.0625 + 3.5x + x2 = -1.9375

Factor a perfect square on the left side:
(x + 1.75)(x + 1.75) = -1.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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