-16x^2+25x+3=20

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Solution for -16x^2+25x+3=20 equation:


Simplifying
-16x2 + 25x + 3 = 20

Reorder the terms:
3 + 25x + -16x2 = 20

Solving
3 + 25x + -16x2 = 20

Solving for variable 'x'.

Reorder the terms:
3 + -20 + 25x + -16x2 = 20 + -20

Combine like terms: 3 + -20 = -17
-17 + 25x + -16x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-17 + 25x + -16x2 = 0

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
1.0625 + -1.5625x + x2 = 0

Move the constant term to the right:

Add '-1.0625' to each side of the equation.
1.0625 + -1.5625x + -1.0625 + x2 = 0 + -1.0625

Reorder the terms:
1.0625 + -1.0625 + -1.5625x + x2 = 0 + -1.0625

Combine like terms: 1.0625 + -1.0625 = 0.0000
0.0000 + -1.5625x + x2 = 0 + -1.0625
-1.5625x + x2 = 0 + -1.0625

Combine like terms: 0 + -1.0625 = -1.0625
-1.5625x + x2 = -1.0625

The x term is -1.5625x.  Take half its coefficient (-0.78125).
Square it (0.6103515625) and add it to both sides.

Add '0.6103515625' to each side of the equation.
-1.5625x + 0.6103515625 + x2 = -1.0625 + 0.6103515625

Reorder the terms:
0.6103515625 + -1.5625x + x2 = -1.0625 + 0.6103515625

Combine like terms: -1.0625 + 0.6103515625 = -0.4521484375
0.6103515625 + -1.5625x + x2 = -0.4521484375

Factor a perfect square on the left side:
(x + -0.78125)(x + -0.78125) = -0.4521484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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