5x^2+7x+70=0

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Solution for 5x^2+7x+70=0 equation:


Simplifying
5x2 + 7x + 70 = 0

Reorder the terms:
70 + 7x + 5x2 = 0

Solving
70 + 7x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
14 + 1.4x + x2 = 0

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + 1.4x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + 1.4x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 1.4x + x2 = 0 + -14
1.4x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
1.4x + x2 = -14

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = -14 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = -14 + 0.49

Combine like terms: -14 + 0.49 = -13.51
0.49 + 1.4x + x2 = -13.51

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = -13.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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