-5x^2+7x-3=8

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Solution for -5x^2+7x-3=8 equation:


Simplifying
-5x2 + 7x + -3 = 8

Reorder the terms:
-3 + 7x + -5x2 = 8

Solving
-3 + 7x + -5x2 = 8

Solving for variable 'x'.

Reorder the terms:
-3 + -8 + 7x + -5x2 = 8 + -8

Combine like terms: -3 + -8 = -11
-11 + 7x + -5x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-11 + 7x + -5x2 = 0

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

Divide each side by '-5'.
2.2 + -1.4x + x2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + -1.4x + -2.2 + x2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + -1.4x + x2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -1.4x + x2 = 0 + -2.2
-1.4x + x2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
-1.4x + x2 = -2.2

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 = -2.2 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -2.2 + 0.49

Combine like terms: -2.2 + 0.49 = -1.71
0.49 + -1.4x + x2 = -1.71

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = -1.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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