(X+4)(x-3)=(x+7)2

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Solution for (X+4)(x-3)=(x+7)2 equation: 


Simplifying
(X + 4)(x + -3) = (x + 7) * 2

Reorder the terms:
(4 + X)(x + -3) = (x + 7) * 2

Reorder the terms:
(4 + X)(-3 + x) = (x + 7) * 2

Multiply (4 + X) * (-3 + x)
(4(-3 + x) + X(-3 + x)) = (x + 7) * 2
((-3 * 4 + x * 4) + X(-3 + x)) = (x + 7) * 2
((-12 + 4x) + X(-3 + x)) = (x + 7) * 2
(-12 + 4x + (-3 * X + x * X)) = (x + 7) * 2
(-12 + 4x + (-3X + xX)) = (x + 7) * 2

Reorder the terms:
(-12 + -3X + 4x + xX) = (x + 7) * 2
(-12 + -3X + 4x + xX) = (x + 7) * 2

Reorder the terms:
-12 + -3X + 4x + xX = (7 + x) * 2

Reorder the terms for easier multiplication:
-12 + -3X + 4x + xX = 2(7 + x)
-12 + -3X + 4x + xX = (7 * 2 + x * 2)
-12 + -3X + 4x + xX = (14 + 2x)

Solving
-12 + -3X + 4x + xX = 14 + 2x

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + -3X + 4x + 12 + xX = 14 + 12 + 2x

Reorder the terms:
-12 + 12 + -3X + 4x + xX = 14 + 12 + 2x

Combine like terms: -12 + 12 = 0
0 + -3X + 4x + xX = 14 + 12 + 2x
-3X + 4x + xX = 14 + 12 + 2x

Combine like terms: 14 + 12 = 26
-3X + 4x + xX = 26 + 2x

Add '-4x' to each side of the equation.
-3X + 4x + -4x + xX = 26 + 2x + -4x

Combine like terms: 4x + -4x = 0
-3X + 0 + xX = 26 + 2x + -4x
-3X + xX = 26 + 2x + -4x

Combine like terms: 2x + -4x = -2x
-3X + xX = 26 + -2x

Reorder the terms:
-26 + -3X + 2x + xX = 26 + -2x + -26 + 2x

Reorder the terms:
-26 + -3X + 2x + xX = 26 + -26 + -2x + 2x

Combine like terms: 26 + -26 = 0
-26 + -3X + 2x + xX = 0 + -2x + 2x
-26 + -3X + 2x + xX = -2x + 2x

Combine like terms: -2x + 2x = 0
-26 + -3X + 2x + xX = 0

The solution to this equation could not be determined.

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