(X+1)*(4x^2+7x+6)=

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Solution for (X+1)*(4x^2+7x+6)= equation:


Simplifying
(X + 1)(4x2 + 7x + 6) = 0

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

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

Multiply (1 + X) * (6 + 7x + 4x2)
(1(6 + 7x + 4x2) + X(6 + 7x + 4x2)) = 0
((6 * 1 + 7x * 1 + 4x2 * 1) + X(6 + 7x + 4x2)) = 0
((6 + 7x + 4x2) + X(6 + 7x + 4x2)) = 0
(6 + 7x + 4x2 + (6 * X + 7x * X + 4x2 * X)) = 0
(6 + 7x + 4x2 + (6X + 7xX + 4x2X)) = 0

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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