(X+7)(7x-1)=43+5x^2

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Solution for (X+7)(7x-1)=43+5x^2 equation: 


Simplifying
(X + 7)(7x + -1) = 43 + 5x2

Reorder the terms:
(7 + X)(7x + -1) = 43 + 5x2

Reorder the terms:
(7 + X)(-1 + 7x) = 43 + 5x2

Multiply (7 + X) * (-1 + 7x)
(7(-1 + 7x) + X(-1 + 7x)) = 43 + 5x2
((-1 * 7 + 7x * 7) + X(-1 + 7x)) = 43 + 5x2
((-7 + 49x) + X(-1 + 7x)) = 43 + 5x2
(-7 + 49x + (-1 * X + 7x * X)) = 43 + 5x2
(-7 + 49x + (-1X + 7xX)) = 43 + 5x2

Reorder the terms:
(-7 + -1X + 49x + 7xX) = 43 + 5x2
(-7 + -1X + 49x + 7xX) = 43 + 5x2

Solving
-7 + -1X + 49x + 7xX = 43 + 5x2

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + -1X + 49x + 7 + 7xX = 43 + 7 + 5x2

Reorder the terms:
-7 + 7 + -1X + 49x + 7xX = 43 + 7 + 5x2

Combine like terms: -7 + 7 = 0
0 + -1X + 49x + 7xX = 43 + 7 + 5x2
-1X + 49x + 7xX = 43 + 7 + 5x2

Combine like terms: 43 + 7 = 50
-1X + 49x + 7xX = 50 + 5x2

Add '-49x' to each side of the equation.
-1X + 49x + -49x + 7xX = 50 + -49x + 5x2

Combine like terms: 49x + -49x = 0
-1X + 0 + 7xX = 50 + -49x + 5x2
-1X + 7xX = 50 + -49x + 5x2

Reorder the terms:
-50 + -1X + 49x + 7xX + -5x2 = 50 + -49x + 5x2 + -50 + 49x + -5x2

Reorder the terms:
-50 + -1X + 49x + 7xX + -5x2 = 50 + -50 + -49x + 49x + 5x2 + -5x2

Combine like terms: 50 + -50 = 0
-50 + -1X + 49x + 7xX + -5x2 = 0 + -49x + 49x + 5x2 + -5x2
-50 + -1X + 49x + 7xX + -5x2 = -49x + 49x + 5x2 + -5x2

Combine like terms: -49x + 49x = 0
-50 + -1X + 49x + 7xX + -5x2 = 0 + 5x2 + -5x2
-50 + -1X + 49x + 7xX + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-50 + -1X + 49x + 7xX + -5x2 = 0

The solution to this equation could not be determined.

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