(X+3)(4x^2+6x+7)=

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Solution for (X+3)(4x^2+6x+7)= equation:


Simplifying
(X + 3)(4x2 + 6x + 7) = 0

Reorder the terms:
(3 + X)(4x2 + 6x + 7) = 0

Reorder the terms:
(3 + X)(7 + 6x + 4x2) = 0

Multiply (3 + X) * (7 + 6x + 4x2)
(3(7 + 6x + 4x2) + X(7 + 6x + 4x2)) = 0
((7 * 3 + 6x * 3 + 4x2 * 3) + X(7 + 6x + 4x2)) = 0
((21 + 18x + 12x2) + X(7 + 6x + 4x2)) = 0
(21 + 18x + 12x2 + (7 * X + 6x * X + 4x2 * X)) = 0
(21 + 18x + 12x2 + (7X + 6xX + 4x2X)) = 0

Reorder the terms:
(21 + 7X + 18x + 6xX + 12x2 + 4x2X) = 0
(21 + 7X + 18x + 6xX + 12x2 + 4x2X) = 0

Solving
21 + 7X + 18x + 6xX + 12x2 + 4x2X = 0

Solving for variable 'X'.

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

Add '-21' to each side of the equation.
21 + 7X + 18x + 6xX + 12x2 + -21 + 4x2X = 0 + -21

Reorder the terms:
21 + -21 + 7X + 18x + 6xX + 12x2 + 4x2X = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 7X + 18x + 6xX + 12x2 + 4x2X = 0 + -21
7X + 18x + 6xX + 12x2 + 4x2X = 0 + -21

Combine like terms: 0 + -21 = -21
7X + 18x + 6xX + 12x2 + 4x2X = -21

Add '-18x' to each side of the equation.
7X + 18x + 6xX + 12x2 + -18x + 4x2X = -21 + -18x

Reorder the terms:
7X + 18x + -18x + 6xX + 12x2 + 4x2X = -21 + -18x

Combine like terms: 18x + -18x = 0
7X + 0 + 6xX + 12x2 + 4x2X = -21 + -18x
7X + 6xX + 12x2 + 4x2X = -21 + -18x

Add '-12x2' to each side of the equation.
7X + 6xX + 12x2 + -12x2 + 4x2X = -21 + -18x + -12x2

Combine like terms: 12x2 + -12x2 = 0
7X + 6xX + 0 + 4x2X = -21 + -18x + -12x2
7X + 6xX + 4x2X = -21 + -18x + -12x2

Reorder the terms:
21 + 7X + 18x + 6xX + 12x2 + 4x2X = -21 + -18x + -12x2 + 21 + 18x + 12x2

Reorder the terms:
21 + 7X + 18x + 6xX + 12x2 + 4x2X = -21 + 21 + -18x + 18x + -12x2 + 12x2

Combine like terms: -21 + 21 = 0
21 + 7X + 18x + 6xX + 12x2 + 4x2X = 0 + -18x + 18x + -12x2 + 12x2
21 + 7X + 18x + 6xX + 12x2 + 4x2X = -18x + 18x + -12x2 + 12x2

Combine like terms: -18x + 18x = 0
21 + 7X + 18x + 6xX + 12x2 + 4x2X = 0 + -12x2 + 12x2
21 + 7X + 18x + 6xX + 12x2 + 4x2X = -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
21 + 7X + 18x + 6xX + 12x2 + 4x2X = 0

The solution to this equation could not be determined.

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