(X+3)(2x^2-5x+7)=0

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Solution for (X+3)(2x^2-5x+7)=0 equation: 


Simplifying
(X + 3)(2x2 + -5x + 7) = 0

Reorder the terms:
(3 + X)(2x2 + -5x + 7) = 0

Reorder the terms:
(3 + X)(7 + -5x + 2x2) = 0

Multiply (3 + X) * (7 + -5x + 2x2)
(3(7 + -5x + 2x2) + X(7 + -5x + 2x2)) = 0
((7 * 3 + -5x * 3 + 2x2 * 3) + X(7 + -5x + 2x2)) = 0
((21 + -15x + 6x2) + X(7 + -5x + 2x2)) = 0
(21 + -15x + 6x2 + (7 * X + -5x * X + 2x2 * X)) = 0
(21 + -15x + 6x2 + (7X + -5xX + 2x2X)) = 0

Reorder the terms:
(21 + 7X + -15x + -5xX + 6x2 + 2x2X) = 0
(21 + 7X + -15x + -5xX + 6x2 + 2x2X) = 0

Solving
21 + 7X + -15x + -5xX + 6x2 + 2x2X = 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 + -15x + -5xX + 6x2 + -21 + 2x2X = 0 + -21

Reorder the terms:
21 + -21 + 7X + -15x + -5xX + 6x2 + 2x2X = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 7X + -15x + -5xX + 6x2 + 2x2X = 0 + -21
7X + -15x + -5xX + 6x2 + 2x2X = 0 + -21

Combine like terms: 0 + -21 = -21
7X + -15x + -5xX + 6x2 + 2x2X = -21

Add '15x' to each side of the equation.
7X + -15x + -5xX + 6x2 + 15x + 2x2X = -21 + 15x

Reorder the terms:
7X + -15x + 15x + -5xX + 6x2 + 2x2X = -21 + 15x

Combine like terms: -15x + 15x = 0
7X + 0 + -5xX + 6x2 + 2x2X = -21 + 15x
7X + -5xX + 6x2 + 2x2X = -21 + 15x

Add '-6x2' to each side of the equation.
7X + -5xX + 6x2 + -6x2 + 2x2X = -21 + 15x + -6x2

Combine like terms: 6x2 + -6x2 = 0
7X + -5xX + 0 + 2x2X = -21 + 15x + -6x2
7X + -5xX + 2x2X = -21 + 15x + -6x2

Reorder the terms:
21 + 7X + -15x + -5xX + 6x2 + 2x2X = -21 + 15x + -6x2 + 21 + -15x + 6x2

Reorder the terms:
21 + 7X + -15x + -5xX + 6x2 + 2x2X = -21 + 21 + 15x + -15x + -6x2 + 6x2

Combine like terms: -21 + 21 = 0
21 + 7X + -15x + -5xX + 6x2 + 2x2X = 0 + 15x + -15x + -6x2 + 6x2
21 + 7X + -15x + -5xX + 6x2 + 2x2X = 15x + -15x + -6x2 + 6x2

Combine like terms: 15x + -15x = 0
21 + 7X + -15x + -5xX + 6x2 + 2x2X = 0 + -6x2 + 6x2
21 + 7X + -15x + -5xX + 6x2 + 2x2X = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
21 + 7X + -15x + -5xX + 6x2 + 2x2X = 0

The solution to this equation could not be determined.

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