(X^2-7x+10)(8x+40)=0

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Solution for (X^2-7x+10)(8x+40)=0 equation: 


Simplifying
(X2 + -7x + 10)(8x + 40) = 0

Reorder the terms:
(10 + X2 + -7x)(8x + 40) = 0

Reorder the terms:
(10 + X2 + -7x)(40 + 8x) = 0

Multiply (10 + X2 + -7x) * (40 + 8x)
(10(40 + 8x) + X2(40 + 8x) + -7x * (40 + 8x)) = 0
((40 * 10 + 8x * 10) + X2(40 + 8x) + -7x * (40 + 8x)) = 0
((400 + 80x) + X2(40 + 8x) + -7x * (40 + 8x)) = 0
(400 + 80x + (40 * X2 + 8x * X2) + -7x * (40 + 8x)) = 0
(400 + 80x + (40X2 + 8xX2) + -7x * (40 + 8x)) = 0
(400 + 80x + 40X2 + 8xX2 + (40 * -7x + 8x * -7x)) = 0
(400 + 80x + 40X2 + 8xX2 + (-280x + -56x2)) = 0

Reorder the terms:
(400 + 40X2 + 80x + -280x + 8xX2 + -56x2) = 0

Combine like terms: 80x + -280x = -200x
(400 + 40X2 + -200x + 8xX2 + -56x2) = 0

Solving
400 + 40X2 + -200x + 8xX2 + -56x2 = 0

Solving for variable 'X'.

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

Add '-400' to each side of the equation.
400 + 40X2 + -200x + 8xX2 + -400 + -56x2 = 0 + -400

Reorder the terms:
400 + -400 + 40X2 + -200x + 8xX2 + -56x2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + 40X2 + -200x + 8xX2 + -56x2 = 0 + -400
40X2 + -200x + 8xX2 + -56x2 = 0 + -400

Combine like terms: 0 + -400 = -400
40X2 + -200x + 8xX2 + -56x2 = -400

Add '200x' to each side of the equation.
40X2 + -200x + 8xX2 + 200x + -56x2 = -400 + 200x

Reorder the terms:
40X2 + -200x + 200x + 8xX2 + -56x2 = -400 + 200x

Combine like terms: -200x + 200x = 0
40X2 + 0 + 8xX2 + -56x2 = -400 + 200x
40X2 + 8xX2 + -56x2 = -400 + 200x

Add '56x2' to each side of the equation.
40X2 + 8xX2 + -56x2 + 56x2 = -400 + 200x + 56x2

Combine like terms: -56x2 + 56x2 = 0
40X2 + 8xX2 + 0 = -400 + 200x + 56x2
40X2 + 8xX2 = -400 + 200x + 56x2

Reorder the terms:
400 + 40X2 + -200x + 8xX2 + -56x2 = -400 + 200x + 56x2 + 400 + -200x + -56x2

Reorder the terms:
400 + 40X2 + -200x + 8xX2 + -56x2 = -400 + 400 + 200x + -200x + 56x2 + -56x2

Combine like terms: -400 + 400 = 0
400 + 40X2 + -200x + 8xX2 + -56x2 = 0 + 200x + -200x + 56x2 + -56x2
400 + 40X2 + -200x + 8xX2 + -56x2 = 200x + -200x + 56x2 + -56x2

Combine like terms: 200x + -200x = 0
400 + 40X2 + -200x + 8xX2 + -56x2 = 0 + 56x2 + -56x2
400 + 40X2 + -200x + 8xX2 + -56x2 = 56x2 + -56x2

Combine like terms: 56x2 + -56x2 = 0
400 + 40X2 + -200x + 8xX2 + -56x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(50 + 5X2 + -25x + xX2 + -7x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(50 + 5X2 + -25x + xX2 + -7x2)' equal to zero and attempt to solve:

Simplifying
50 + 5X2 + -25x + xX2 + -7x2 = 0

Solving
50 + 5X2 + -25x + xX2 + -7x2 = 0

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

Add '-50' to each side of the equation.
50 + 5X2 + -25x + xX2 + -50 + -7x2 = 0 + -50

Reorder the terms:
50 + -50 + 5X2 + -25x + xX2 + -7x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 5X2 + -25x + xX2 + -7x2 = 0 + -50
5X2 + -25x + xX2 + -7x2 = 0 + -50

Combine like terms: 0 + -50 = -50
5X2 + -25x + xX2 + -7x2 = -50

Add '25x' to each side of the equation.
5X2 + -25x + xX2 + 25x + -7x2 = -50 + 25x

Reorder the terms:
5X2 + -25x + 25x + xX2 + -7x2 = -50 + 25x

Combine like terms: -25x + 25x = 0
5X2 + 0 + xX2 + -7x2 = -50 + 25x
5X2 + xX2 + -7x2 = -50 + 25x

Add '7x2' to each side of the equation.
5X2 + xX2 + -7x2 + 7x2 = -50 + 25x + 7x2

Combine like terms: -7x2 + 7x2 = 0
5X2 + xX2 + 0 = -50 + 25x + 7x2
5X2 + xX2 = -50 + 25x + 7x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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