-4x^2+3x-10=0

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Solution for -4x^2+3x-10=0 equation:


Simplifying
-4x2 + 3x + -10 = 0

Reorder the terms:
-10 + 3x + -4x2 = 0

Solving
-10 + 3x + -4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
2.5 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.75x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.75x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.75x + x2 = 0 + -2.5
-0.75x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.75x + x2 = -2.5

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -2.5 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -2.5 + 0.140625

Combine like terms: -2.5 + 0.140625 = -2.359375
0.140625 + -0.75x + x2 = -2.359375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -2.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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