2X-6-(X-3)(2X-5)=145

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Solution for 2X-6-(X-3)(2X-5)=145 equation: 


Simplifying
2X + -6 + -1(X + -3)(2X + -5) = 145

Reorder the terms:
2X + -6 + -1(-3 + X)(2X + -5) = 145

Reorder the terms:
2X + -6 + -1(-3 + X)(-5 + 2X) = 145

Multiply (-3 + X) * (-5 + 2X)
2X + -6 + -1(-3(-5 + 2X) + X(-5 + 2X)) = 145
2X + -6 + -1((-5 * -3 + 2X * -3) + X(-5 + 2X)) = 145
2X + -6 + -1((15 + -6X) + X(-5 + 2X)) = 145
2X + -6 + -1(15 + -6X + (-5 * X + 2X * X)) = 145
2X + -6 + -1(15 + -6X + (-5X + 2X2)) = 145

Combine like terms: -6X + -5X = -11X
2X + -6 + -1(15 + -11X + 2X2) = 145
2X + -6 + (15 * -1 + -11X * -1 + 2X2 * -1) = 145
2X + -6 + (-15 + 11X + -2X2) = 145

Reorder the terms:
-6 + -15 + 2X + 11X + -2X2 = 145

Combine like terms: -6 + -15 = -21
-21 + 2X + 11X + -2X2 = 145

Combine like terms: 2X + 11X = 13X
-21 + 13X + -2X2 = 145

Solving
-21 + 13X + -2X2 = 145

Solving for variable 'X'.

Reorder the terms:
-21 + -145 + 13X + -2X2 = 145 + -145

Combine like terms: -21 + -145 = -166
-166 + 13X + -2X2 = 145 + -145

Combine like terms: 145 + -145 = 0
-166 + 13X + -2X2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
83 + -6.5X + X2 = 0

Move the constant term to the right:

Add '-83' to each side of the equation.
83 + -6.5X + -83 + X2 = 0 + -83

Reorder the terms:
83 + -83 + -6.5X + X2 = 0 + -83

Combine like terms: 83 + -83 = 0
0 + -6.5X + X2 = 0 + -83
-6.5X + X2 = 0 + -83

Combine like terms: 0 + -83 = -83
-6.5X + X2 = -83

The X term is -6.5X.  Take half its coefficient (-3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
-6.5X + 10.5625 + X2 = -83 + 10.5625

Reorder the terms:
10.5625 + -6.5X + X2 = -83 + 10.5625

Combine like terms: -83 + 10.5625 = -72.4375
10.5625 + -6.5X + X2 = -72.4375

Factor a perfect square on the left side:
(X + -3.25)(X + -3.25) = -72.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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