(X+4)(x+7)=x^2+33

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Solution for (X+4)(x+7)=x^2+33 equation: 


Simplifying
(X + 4)(x + 7) = x2 + 33

Reorder the terms:
(4 + X)(x + 7) = x2 + 33

Reorder the terms:
(4 + X)(7 + x) = x2 + 33

Multiply (4 + X) * (7 + x)
(4(7 + x) + X(7 + x)) = x2 + 33
((7 * 4 + x * 4) + X(7 + x)) = x2 + 33
((28 + 4x) + X(7 + x)) = x2 + 33
(28 + 4x + (7 * X + x * X)) = x2 + 33
(28 + 4x + (7X + xX)) = x2 + 33

Reorder the terms:
(28 + 7X + 4x + xX) = x2 + 33
(28 + 7X + 4x + xX) = x2 + 33

Reorder the terms:
28 + 7X + 4x + xX = 33 + x2

Solving
28 + 7X + 4x + xX = 33 + x2

Solving for variable 'X'.

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

Add '-28' to each side of the equation.
28 + 7X + 4x + -28 + xX = 33 + -28 + x2

Reorder the terms:
28 + -28 + 7X + 4x + xX = 33 + -28 + x2

Combine like terms: 28 + -28 = 0
0 + 7X + 4x + xX = 33 + -28 + x2
7X + 4x + xX = 33 + -28 + x2

Combine like terms: 33 + -28 = 5
7X + 4x + xX = 5 + x2

Add '-4x' to each side of the equation.
7X + 4x + -4x + xX = 5 + -4x + x2

Combine like terms: 4x + -4x = 0
7X + 0 + xX = 5 + -4x + x2
7X + xX = 5 + -4x + x2

Reorder the terms:
-5 + 7X + 4x + xX + -1x2 = 5 + -4x + x2 + -5 + 4x + -1x2

Reorder the terms:
-5 + 7X + 4x + xX + -1x2 = 5 + -5 + -4x + 4x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + 7X + 4x + xX + -1x2 = 0 + -4x + 4x + x2 + -1x2
-5 + 7X + 4x + xX + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-5 + 7X + 4x + xX + -1x2 = 0 + x2 + -1x2
-5 + 7X + 4x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-5 + 7X + 4x + xX + -1x2 = 0

The solution to this equation could not be determined.

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