64x^2+81=90x

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Solution for 64x^2+81=90x equation:


Simplifying
64x2 + 81 = 90x

Reorder the terms:
81 + 64x2 = 90x

Solving
81 + 64x2 = 90x

Solving for variable 'x'.

Reorder the terms:
81 + -90x + 64x2 = 90x + -90x

Combine like terms: 90x + -90x = 0
81 + -90x + 64x2 = 0

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

Divide each side by '64'.
1.265625 + -1.40625x + x2 = 0

Move the constant term to the right:

Add '-1.265625' to each side of the equation.
1.265625 + -1.40625x + -1.265625 + x2 = 0 + -1.265625

Reorder the terms:
1.265625 + -1.265625 + -1.40625x + x2 = 0 + -1.265625

Combine like terms: 1.265625 + -1.265625 = 0.000000
0.000000 + -1.40625x + x2 = 0 + -1.265625
-1.40625x + x2 = 0 + -1.265625

Combine like terms: 0 + -1.265625 = -1.265625
-1.40625x + x2 = -1.265625

The x term is -1.40625x.  Take half its coefficient (-0.703125).
Square it (0.4943847656) and add it to both sides.

Add '0.4943847656' to each side of the equation.
-1.40625x + 0.4943847656 + x2 = -1.265625 + 0.4943847656

Reorder the terms:
0.4943847656 + -1.40625x + x2 = -1.265625 + 0.4943847656

Combine like terms: -1.265625 + 0.4943847656 = -0.7712402344
0.4943847656 + -1.40625x + x2 = -0.7712402344

Factor a perfect square on the left side:
(x + -0.703125)(x + -0.703125) = -0.7712402344

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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