8x^2-10x=-9

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Solution for 8x^2-10x=-9 equation:


Simplifying
8x2 + -10x = -9

Reorder the terms:
-10x + 8x2 = -9

Solving
-10x + 8x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + -10x + 8x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -10x + 8x2 = 0

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

Divide each side by '8'.
1.125 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -1.25x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -1.25x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -1.25x + x2 = 0 + -1.125
-1.25x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-1.25x + x2 = -1.125

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -1.125 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -1.125 + 0.390625

Combine like terms: -1.125 + 0.390625 = -0.734375
0.390625 + -1.25x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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