-8x^2=-9x+16

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Solution for -8x^2=-9x+16 equation:


Simplifying
-8x2 = -9x + 16

Reorder the terms:
-8x2 = 16 + -9x

Solving
-8x2 = 16 + -9x

Solving for variable 'x'.

Reorder the terms:
-16 + 9x + -8x2 = 16 + -9x + -16 + 9x

Reorder the terms:
-16 + 9x + -8x2 = 16 + -16 + -9x + 9x

Combine like terms: 16 + -16 = 0
-16 + 9x + -8x2 = 0 + -9x + 9x
-16 + 9x + -8x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-16 + 9x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
2 + -1.125x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.125x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1.125x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.125x + x2 = 0 + -2
-1.125x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.125x + x2 = -2

The x term is -1.125x.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125x + 0.31640625 + x2 = -2 + 0.31640625

Reorder the terms:
0.31640625 + -1.125x + x2 = -2 + 0.31640625

Combine like terms: -2 + 0.31640625 = -1.68359375
0.31640625 + -1.125x + x2 = -1.68359375

Factor a perfect square on the left side:
(x + -0.5625)(x + -0.5625) = -1.68359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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