(X-5)(x^2+8x+7)=0

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Solution for (X-5)(x^2+8x+7)=0 equation: 


Simplifying
(X + -5)(x2 + 8x + 7) = 0

Reorder the terms:
(-5 + X)(x2 + 8x + 7) = 0

Reorder the terms:
(-5 + X)(7 + 8x + x2) = 0

Multiply (-5 + X) * (7 + 8x + x2)
(-5(7 + 8x + x2) + X(7 + 8x + x2)) = 0
((7 * -5 + 8x * -5 + x2 * -5) + X(7 + 8x + x2)) = 0
((-35 + -40x + -5x2) + X(7 + 8x + x2)) = 0
(-35 + -40x + -5x2 + (7 * X + 8x * X + x2 * X)) = 0
(-35 + -40x + -5x2 + (7X + 8xX + x2X)) = 0

Reorder the terms:
(-35 + 7X + -40x + 8xX + -5x2 + x2X) = 0
(-35 + 7X + -40x + 8xX + -5x2 + x2X) = 0

Solving
-35 + 7X + -40x + 8xX + -5x2 + x2X = 0

Solving for variable 'X'.

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

Add '35' to each side of the equation.
-35 + 7X + -40x + 8xX + -5x2 + 35 + x2X = 0 + 35

Reorder the terms:
-35 + 35 + 7X + -40x + 8xX + -5x2 + x2X = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 7X + -40x + 8xX + -5x2 + x2X = 0 + 35
7X + -40x + 8xX + -5x2 + x2X = 0 + 35

Combine like terms: 0 + 35 = 35
7X + -40x + 8xX + -5x2 + x2X = 35

Add '40x' to each side of the equation.
7X + -40x + 8xX + -5x2 + 40x + x2X = 35 + 40x

Reorder the terms:
7X + -40x + 40x + 8xX + -5x2 + x2X = 35 + 40x

Combine like terms: -40x + 40x = 0
7X + 0 + 8xX + -5x2 + x2X = 35 + 40x
7X + 8xX + -5x2 + x2X = 35 + 40x

Add '5x2' to each side of the equation.
7X + 8xX + -5x2 + 5x2 + x2X = 35 + 40x + 5x2

Combine like terms: -5x2 + 5x2 = 0
7X + 8xX + 0 + x2X = 35 + 40x + 5x2
7X + 8xX + x2X = 35 + 40x + 5x2

Reorder the terms:
-35 + 7X + -40x + 8xX + -5x2 + x2X = 35 + 40x + 5x2 + -35 + -40x + -5x2

Reorder the terms:
-35 + 7X + -40x + 8xX + -5x2 + x2X = 35 + -35 + 40x + -40x + 5x2 + -5x2

Combine like terms: 35 + -35 = 0
-35 + 7X + -40x + 8xX + -5x2 + x2X = 0 + 40x + -40x + 5x2 + -5x2
-35 + 7X + -40x + 8xX + -5x2 + x2X = 40x + -40x + 5x2 + -5x2

Combine like terms: 40x + -40x = 0
-35 + 7X + -40x + 8xX + -5x2 + x2X = 0 + 5x2 + -5x2
-35 + 7X + -40x + 8xX + -5x2 + x2X = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-35 + 7X + -40x + 8xX + -5x2 + x2X = 0

The solution to this equation could not be determined.

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