(X+3)(4x+7)=4x^2+px+21

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Solution for (X+3)(4x+7)=4x^2+px+21 equation: 


Simplifying
(X + 3)(4x + 7) = 4x2 + px + 21

Reorder the terms:
(3 + X)(4x + 7) = 4x2 + px + 21

Reorder the terms:
(3 + X)(7 + 4x) = 4x2 + px + 21

Multiply (3 + X) * (7 + 4x)
(3(7 + 4x) + X(7 + 4x)) = 4x2 + px + 21
((7 * 3 + 4x * 3) + X(7 + 4x)) = 4x2 + px + 21
((21 + 12x) + X(7 + 4x)) = 4x2 + px + 21
(21 + 12x + (7 * X + 4x * X)) = 4x2 + px + 21
(21 + 12x + (7X + 4xX)) = 4x2 + px + 21

Reorder the terms:
(21 + 7X + 12x + 4xX) = 4x2 + px + 21
(21 + 7X + 12x + 4xX) = 4x2 + px + 21

Reorder the terms:
21 + 7X + 12x + 4xX = 21 + px + 4x2

Add '-21' to each side of the equation.
21 + 7X + 12x + -21 + 4xX = 21 + px + -21 + 4x2

Reorder the terms:
21 + -21 + 7X + 12x + 4xX = 21 + px + -21 + 4x2

Combine like terms: 21 + -21 = 0
0 + 7X + 12x + 4xX = 21 + px + -21 + 4x2
7X + 12x + 4xX = 21 + px + -21 + 4x2

Reorder the terms:
7X + 12x + 4xX = 21 + -21 + px + 4x2

Combine like terms: 21 + -21 = 0
7X + 12x + 4xX = 0 + px + 4x2
7X + 12x + 4xX = px + 4x2

Solving
7X + 12x + 4xX = px + 4x2

Solving for variable 'X'.

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

Add '-12x' to each side of the equation.
7X + 12x + -12x + 4xX = px + -12x + 4x2

Combine like terms: 12x + -12x = 0
7X + 0 + 4xX = px + -12x + 4x2
7X + 4xX = px + -12x + 4x2

Reorder the terms:
7X + -1px + 12x + 4xX + -4x2 = px + -12x + 4x2 + -1px + 12x + -4x2

Reorder the terms:
7X + -1px + 12x + 4xX + -4x2 = px + -1px + -12x + 12x + 4x2 + -4x2

Combine like terms: px + -1px = 0
7X + -1px + 12x + 4xX + -4x2 = 0 + -12x + 12x + 4x2 + -4x2
7X + -1px + 12x + 4xX + -4x2 = -12x + 12x + 4x2 + -4x2

Combine like terms: -12x + 12x = 0
7X + -1px + 12x + 4xX + -4x2 = 0 + 4x2 + -4x2
7X + -1px + 12x + 4xX + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
7X + -1px + 12x + 4xX + -4x2 = 0

The solution to this equation could not be determined.

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