(X^2-x-2)(4x+7)=0

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Solution for (X^2-x-2)(4x+7)=0 equation: 


Simplifying
(X2 + -1x + -2)(4x + 7) = 0

Reorder the terms:
(-2 + X2 + -1x)(4x + 7) = 0

Reorder the terms:
(-2 + X2 + -1x)(7 + 4x) = 0

Multiply (-2 + X2 + -1x) * (7 + 4x)
(-2(7 + 4x) + X2(7 + 4x) + -1x * (7 + 4x)) = 0
((7 * -2 + 4x * -2) + X2(7 + 4x) + -1x * (7 + 4x)) = 0
((-14 + -8x) + X2(7 + 4x) + -1x * (7 + 4x)) = 0
(-14 + -8x + (7 * X2 + 4x * X2) + -1x * (7 + 4x)) = 0
(-14 + -8x + (7X2 + 4xX2) + -1x * (7 + 4x)) = 0
(-14 + -8x + 7X2 + 4xX2 + (7 * -1x + 4x * -1x)) = 0
(-14 + -8x + 7X2 + 4xX2 + (-7x + -4x2)) = 0

Reorder the terms:
(-14 + 7X2 + -8x + -7x + 4xX2 + -4x2) = 0

Combine like terms: -8x + -7x = -15x
(-14 + 7X2 + -15x + 4xX2 + -4x2) = 0

Solving
-14 + 7X2 + -15x + 4xX2 + -4x2 = 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 + 7X2 + -15x + 4xX2 + 14 + -4x2 = 0 + 14

Reorder the terms:
-14 + 14 + 7X2 + -15x + 4xX2 + -4x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 7X2 + -15x + 4xX2 + -4x2 = 0 + 14
7X2 + -15x + 4xX2 + -4x2 = 0 + 14

Combine like terms: 0 + 14 = 14
7X2 + -15x + 4xX2 + -4x2 = 14

Add '15x' to each side of the equation.
7X2 + -15x + 4xX2 + 15x + -4x2 = 14 + 15x

Reorder the terms:
7X2 + -15x + 15x + 4xX2 + -4x2 = 14 + 15x

Combine like terms: -15x + 15x = 0
7X2 + 0 + 4xX2 + -4x2 = 14 + 15x
7X2 + 4xX2 + -4x2 = 14 + 15x

Add '4x2' to each side of the equation.
7X2 + 4xX2 + -4x2 + 4x2 = 14 + 15x + 4x2

Combine like terms: -4x2 + 4x2 = 0
7X2 + 4xX2 + 0 = 14 + 15x + 4x2
7X2 + 4xX2 = 14 + 15x + 4x2

Reorder the terms:
-14 + 7X2 + -15x + 4xX2 + -4x2 = 14 + 15x + 4x2 + -14 + -15x + -4x2

Reorder the terms:
-14 + 7X2 + -15x + 4xX2 + -4x2 = 14 + -14 + 15x + -15x + 4x2 + -4x2

Combine like terms: 14 + -14 = 0
-14 + 7X2 + -15x + 4xX2 + -4x2 = 0 + 15x + -15x + 4x2 + -4x2
-14 + 7X2 + -15x + 4xX2 + -4x2 = 15x + -15x + 4x2 + -4x2

Combine like terms: 15x + -15x = 0
-14 + 7X2 + -15x + 4xX2 + -4x2 = 0 + 4x2 + -4x2
-14 + 7X2 + -15x + 4xX2 + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-14 + 7X2 + -15x + 4xX2 + -4x2 = 0

The solution to this equation could not be determined.

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