-4X^2=-9X+15

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Solution for -4X^2=-9X+15 equation:


Simplifying
-4X2 = -9X + 15

Reorder the terms:
-4X2 = 15 + -9X

Solving
-4X2 = 15 + -9X

Solving for variable 'X'.

Reorder the terms:
-15 + 9X + -4X2 = 15 + -9X + -15 + 9X

Reorder the terms:
-15 + 9X + -4X2 = 15 + -15 + -9X + 9X

Combine like terms: 15 + -15 = 0
-15 + 9X + -4X2 = 0 + -9X + 9X
-15 + 9X + -4X2 = -9X + 9X

Combine like terms: -9X + 9X = 0
-15 + 9X + -4X2 = 0

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

Divide each side by '-4'.
3.75 + -2.25X + X2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -2.25X + -3.75 + X2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -2.25X + X2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -2.25X + X2 = 0 + -3.75
-2.25X + X2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-2.25X + X2 = -3.75

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 = -3.75 + 1.265625

Reorder the terms:
1.265625 + -2.25X + X2 = -3.75 + 1.265625

Combine like terms: -3.75 + 1.265625 = -2.484375
1.265625 + -2.25X + X2 = -2.484375

Factor a perfect square on the left side:
(X + -1.125)(X + -1.125) = -2.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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