(X-5)(2x+9)=x^2-13x+40

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Solution for (X-5)(2x+9)=x^2-13x+40 equation: 


Simplifying
(X + -5)(2x + 9) = x2 + -13x + 40

Reorder the terms:
(-5 + X)(2x + 9) = x2 + -13x + 40

Reorder the terms:
(-5 + X)(9 + 2x) = x2 + -13x + 40

Multiply (-5 + X) * (9 + 2x)
(-5(9 + 2x) + X(9 + 2x)) = x2 + -13x + 40
((9 * -5 + 2x * -5) + X(9 + 2x)) = x2 + -13x + 40
((-45 + -10x) + X(9 + 2x)) = x2 + -13x + 40
(-45 + -10x + (9 * X + 2x * X)) = x2 + -13x + 40
(-45 + -10x + (9X + 2xX)) = x2 + -13x + 40

Reorder the terms:
(-45 + 9X + -10x + 2xX) = x2 + -13x + 40
(-45 + 9X + -10x + 2xX) = x2 + -13x + 40

Reorder the terms:
-45 + 9X + -10x + 2xX = 40 + -13x + x2

Solving
-45 + 9X + -10x + 2xX = 40 + -13x + x2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '45' to each side of the equation.
-45 + 9X + -10x + 45 + 2xX = 40 + -13x + 45 + x2

Reorder the terms:
-45 + 45 + 9X + -10x + 2xX = 40 + -13x + 45 + x2

Combine like terms: -45 + 45 = 0
0 + 9X + -10x + 2xX = 40 + -13x + 45 + x2
9X + -10x + 2xX = 40 + -13x + 45 + x2

Reorder the terms:
9X + -10x + 2xX = 40 + 45 + -13x + x2

Combine like terms: 40 + 45 = 85
9X + -10x + 2xX = 85 + -13x + x2

Add '10x' to each side of the equation.
9X + -10x + 10x + 2xX = 85 + -13x + 10x + x2

Combine like terms: -10x + 10x = 0
9X + 0 + 2xX = 85 + -13x + 10x + x2
9X + 2xX = 85 + -13x + 10x + x2

Combine like terms: -13x + 10x = -3x
9X + 2xX = 85 + -3x + x2

Reorder the terms:
-85 + 9X + 3x + 2xX + -1x2 = 85 + -3x + x2 + -85 + 3x + -1x2

Reorder the terms:
-85 + 9X + 3x + 2xX + -1x2 = 85 + -85 + -3x + 3x + x2 + -1x2

Combine like terms: 85 + -85 = 0
-85 + 9X + 3x + 2xX + -1x2 = 0 + -3x + 3x + x2 + -1x2
-85 + 9X + 3x + 2xX + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-85 + 9X + 3x + 2xX + -1x2 = 0 + x2 + -1x2
-85 + 9X + 3x + 2xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-85 + 9X + 3x + 2xX + -1x2 = 0

The solution to this equation could not be determined.

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