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

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


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

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

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

Multiply (2 + X) * (-7 + 5x + x2)
(2(-7 + 5x + x2) + X(-7 + 5x + x2)) = 0
((-7 * 2 + 5x * 2 + x2 * 2) + X(-7 + 5x + x2)) = 0
((-14 + 10x + 2x2) + X(-7 + 5x + x2)) = 0
(-14 + 10x + 2x2 + (-7 * X + 5x * X + x2 * X)) = 0
(-14 + 10x + 2x2 + (-7X + 5xX + x2X)) = 0

Reorder the terms:
(-14 + -7X + 10x + 5xX + 2x2 + x2X) = 0
(-14 + -7X + 10x + 5xX + 2x2 + x2X) = 0

Solving
-14 + -7X + 10x + 5xX + 2x2 + x2X = 0

Solving for variable 'X'.

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

Add '14' to each side of the equation.
-14 + -7X + 10x + 5xX + 2x2 + 14 + x2X = 0 + 14

Reorder the terms:
-14 + 14 + -7X + 10x + 5xX + 2x2 + x2X = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -7X + 10x + 5xX + 2x2 + x2X = 0 + 14
-7X + 10x + 5xX + 2x2 + x2X = 0 + 14

Combine like terms: 0 + 14 = 14
-7X + 10x + 5xX + 2x2 + x2X = 14

Add '-10x' to each side of the equation.
-7X + 10x + 5xX + 2x2 + -10x + x2X = 14 + -10x

Reorder the terms:
-7X + 10x + -10x + 5xX + 2x2 + x2X = 14 + -10x

Combine like terms: 10x + -10x = 0
-7X + 0 + 5xX + 2x2 + x2X = 14 + -10x
-7X + 5xX + 2x2 + x2X = 14 + -10x

Add '-2x2' to each side of the equation.
-7X + 5xX + 2x2 + -2x2 + x2X = 14 + -10x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-7X + 5xX + 0 + x2X = 14 + -10x + -2x2
-7X + 5xX + x2X = 14 + -10x + -2x2

Reorder the terms:
-14 + -7X + 10x + 5xX + 2x2 + x2X = 14 + -10x + -2x2 + -14 + 10x + 2x2

Reorder the terms:
-14 + -7X + 10x + 5xX + 2x2 + x2X = 14 + -14 + -10x + 10x + -2x2 + 2x2

Combine like terms: 14 + -14 = 0
-14 + -7X + 10x + 5xX + 2x2 + x2X = 0 + -10x + 10x + -2x2 + 2x2
-14 + -7X + 10x + 5xX + 2x2 + x2X = -10x + 10x + -2x2 + 2x2

Combine like terms: -10x + 10x = 0
-14 + -7X + 10x + 5xX + 2x2 + x2X = 0 + -2x2 + 2x2
-14 + -7X + 10x + 5xX + 2x2 + x2X = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-14 + -7X + 10x + 5xX + 2x2 + x2X = 0

The solution to this equation could not be determined.

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