-2x^2+7x=10

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


Simplifying
-2x2 + 7x = 10

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

Solving
7x + -2x2 = 10

Solving for variable 'x'.

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

Combine like terms: 10 + -10 = 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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