(X^2-5x+4)(x^2+7x-3)=

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Solution for (X^2-5x+4)(x^2+7x-3)= equation: 


Simplifying
(X2 + -5x + 4)(x2 + 7x + -3) = 0

Reorder the terms:
(4 + X2 + -5x)(x2 + 7x + -3) = 0

Reorder the terms:
(4 + X2 + -5x)(-3 + 7x + x2) = 0

Multiply (4 + X2 + -5x) * (-3 + 7x + x2)
(4(-3 + 7x + x2) + X2(-3 + 7x + x2) + -5x * (-3 + 7x + x2)) = 0
((-3 * 4 + 7x * 4 + x2 * 4) + X2(-3 + 7x + x2) + -5x * (-3 + 7x + x2)) = 0
((-12 + 28x + 4x2) + X2(-3 + 7x + x2) + -5x * (-3 + 7x + x2)) = 0
(-12 + 28x + 4x2 + (-3 * X2 + 7x * X2 + x2 * X2) + -5x * (-3 + 7x + x2)) = 0
(-12 + 28x + 4x2 + (-3X2 + 7xX2 + x2X2) + -5x * (-3 + 7x + x2)) = 0
(-12 + 28x + 4x2 + -3X2 + 7xX2 + x2X2 + (-3 * -5x + 7x * -5x + x2 * -5x)) = 0
(-12 + 28x + 4x2 + -3X2 + 7xX2 + x2X2 + (15x + -35x2 + -5x3)) = 0

Reorder the terms:
(-12 + -3X2 + 28x + 15x + 7xX2 + 4x2 + -35x2 + x2X2 + -5x3) = 0

Combine like terms: 28x + 15x = 43x
(-12 + -3X2 + 43x + 7xX2 + 4x2 + -35x2 + x2X2 + -5x3) = 0

Combine like terms: 4x2 + -35x2 = -31x2
(-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3) = 0

Solving
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 0

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + 12 + -5x3 = 0 + 12

Reorder the terms:
-12 + 12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 0 + 12
-3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 0 + 12

Combine like terms: 0 + 12 = 12
-3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 12

Add '-43x' to each side of the equation.
-3X2 + 43x + 7xX2 + -31x2 + x2X2 + -43x + -5x3 = 12 + -43x

Reorder the terms:
-3X2 + 43x + -43x + 7xX2 + -31x2 + x2X2 + -5x3 = 12 + -43x

Combine like terms: 43x + -43x = 0
-3X2 + 0 + 7xX2 + -31x2 + x2X2 + -5x3 = 12 + -43x
-3X2 + 7xX2 + -31x2 + x2X2 + -5x3 = 12 + -43x

Add '31x2' to each side of the equation.
-3X2 + 7xX2 + -31x2 + x2X2 + 31x2 + -5x3 = 12 + -43x + 31x2

Reorder the terms:
-3X2 + 7xX2 + -31x2 + 31x2 + x2X2 + -5x3 = 12 + -43x + 31x2

Combine like terms: -31x2 + 31x2 = 0
-3X2 + 7xX2 + 0 + x2X2 + -5x3 = 12 + -43x + 31x2
-3X2 + 7xX2 + x2X2 + -5x3 = 12 + -43x + 31x2

Add '5x3' to each side of the equation.
-3X2 + 7xX2 + x2X2 + -5x3 + 5x3 = 12 + -43x + 31x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
-3X2 + 7xX2 + x2X2 + 0 = 12 + -43x + 31x2 + 5x3
-3X2 + 7xX2 + x2X2 = 12 + -43x + 31x2 + 5x3

Reorder the terms:
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 12 + -43x + 31x2 + 5x3 + -12 + 43x + -31x2 + -5x3

Reorder the terms:
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 12 + -12 + -43x + 43x + 31x2 + -31x2 + 5x3 + -5x3

Combine like terms: 12 + -12 = 0
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 0 + -43x + 43x + 31x2 + -31x2 + 5x3 + -5x3
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = -43x + 43x + 31x2 + -31x2 + 5x3 + -5x3

Combine like terms: -43x + 43x = 0
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 0 + 31x2 + -31x2 + 5x3 + -5x3
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 31x2 + -31x2 + 5x3 + -5x3

Combine like terms: 31x2 + -31x2 = 0
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 0 + 5x3 + -5x3
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-12 + -3X2 + 43x + 7xX2 + -31x2 + x2X2 + -5x3 = 0

The solution to this equation could not be determined.

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