(X-3)(x-3)-(2x-5)(2x-5)=-16

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Solution for (X-3)(x-3)-(2x-5)(2x-5)=-16 equation: 


Simplifying
(X + -3)(x + -3) + -1(2x + -5)(2x + -5) = -16

Reorder the terms:
(-3 + X)(x + -3) + -1(2x + -5)(2x + -5) = -16

Reorder the terms:
(-3 + X)(-3 + x) + -1(2x + -5)(2x + -5) = -16

Multiply (-3 + X) * (-3 + x)
(-3(-3 + x) + X(-3 + x)) + -1(2x + -5)(2x + -5) = -16
((-3 * -3 + x * -3) + X(-3 + x)) + -1(2x + -5)(2x + -5) = -16
((9 + -3x) + X(-3 + x)) + -1(2x + -5)(2x + -5) = -16
(9 + -3x + (-3 * X + x * X)) + -1(2x + -5)(2x + -5) = -16
(9 + -3x + (-3X + xX)) + -1(2x + -5)(2x + -5) = -16

Reorder the terms:
(9 + -3X + -3x + xX) + -1(2x + -5)(2x + -5) = -16
(9 + -3X + -3x + xX) + -1(2x + -5)(2x + -5) = -16

Reorder the terms:
9 + -3X + -3x + xX + -1(-5 + 2x)(2x + -5) = -16

Reorder the terms:
9 + -3X + -3x + xX + -1(-5 + 2x)(-5 + 2x) = -16

Multiply (-5 + 2x) * (-5 + 2x)
9 + -3X + -3x + xX + -1(-5(-5 + 2x) + 2x * (-5 + 2x)) = -16
9 + -3X + -3x + xX + -1((-5 * -5 + 2x * -5) + 2x * (-5 + 2x)) = -16
9 + -3X + -3x + xX + -1((25 + -10x) + 2x * (-5 + 2x)) = -16
9 + -3X + -3x + xX + -1(25 + -10x + (-5 * 2x + 2x * 2x)) = -16
9 + -3X + -3x + xX + -1(25 + -10x + (-10x + 4x2)) = -16

Combine like terms: -10x + -10x = -20x
9 + -3X + -3x + xX + -1(25 + -20x + 4x2) = -16
9 + -3X + -3x + xX + (25 * -1 + -20x * -1 + 4x2 * -1) = -16
9 + -3X + -3x + xX + (-25 + 20x + -4x2) = -16

Reorder the terms:
9 + -25 + -3X + -3x + 20x + xX + -4x2 = -16

Combine like terms: 9 + -25 = -16
-16 + -3X + -3x + 20x + xX + -4x2 = -16

Combine like terms: -3x + 20x = 17x
-16 + -3X + 17x + xX + -4x2 = -16

Add '16' to each side of the equation.
-16 + -3X + 17x + xX + 16 + -4x2 = -16 + 16

Reorder the terms:
-16 + 16 + -3X + 17x + xX + -4x2 = -16 + 16

Combine like terms: -16 + 16 = 0
0 + -3X + 17x + xX + -4x2 = -16 + 16
-3X + 17x + xX + -4x2 = -16 + 16

Combine like terms: -16 + 16 = 0
-3X + 17x + xX + -4x2 = 0

Solving
-3X + 17x + xX + -4x2 = 0

Solving for variable 'X'.

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

Add '-17x' to each side of the equation.
-3X + 17x + xX + -17x + -4x2 = 0 + -17x

Reorder the terms:
-3X + 17x + -17x + xX + -4x2 = 0 + -17x

Combine like terms: 17x + -17x = 0
-3X + 0 + xX + -4x2 = 0 + -17x
-3X + xX + -4x2 = 0 + -17x
Remove the zero:
-3X + xX + -4x2 = -17x

Add '4x2' to each side of the equation.
-3X + xX + -4x2 + 4x2 = -17x + 4x2

Combine like terms: -4x2 + 4x2 = 0
-3X + xX + 0 = -17x + 4x2
-3X + xX = -17x + 4x2

Reorder the terms:
-3X + 17x + xX + -4x2 = -17x + 4x2 + 17x + -4x2

Reorder the terms:
-3X + 17x + xX + -4x2 = -17x + 17x + 4x2 + -4x2

Combine like terms: -17x + 17x = 0
-3X + 17x + xX + -4x2 = 0 + 4x2 + -4x2
-3X + 17x + xX + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3X + 17x + xX + -4x2 = 0

The solution to this equation could not be determined.

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