-4x^2=-9x+10

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Solution for -4x^2=-9x+10 equation:


Simplifying
-4x2 = -9x + 10

Reorder the terms:
-4x2 = 10 + -9x

Solving
-4x2 = 10 + -9x

Solving for variable 'x'.

Reorder the terms:
-10 + 9x + -4x2 = 10 + -9x + -10 + 9x

Reorder the terms:
-10 + 9x + -4x2 = 10 + -10 + -9x + 9x

Combine like terms: 10 + -10 = 0
-10 + 9x + -4x2 = 0 + -9x + 9x
-10 + 9x + -4x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-10 + 9x + -4x2 = 0

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

Divide each side by '-4'.
2.5 + -2.25x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2.25x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2.25x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.25x + x2 = 0 + -2.5
-2.25x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2.25x + x2 = -2.5

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -2.5 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -2.5 + 1.265625

Combine like terms: -2.5 + 1.265625 = -1.234375
1.265625 + -2.25x + x2 = -1.234375

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -1.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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