(X^2+4x+3)*(5x-2)=44

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Solution for (X^2+4x+3)*(5x-2)=44 equation: 


Simplifying
(X2 + 4x + 3)(5x + -2) = 44

Reorder the terms:
(3 + X2 + 4x)(5x + -2) = 44

Reorder the terms:
(3 + X2 + 4x)(-2 + 5x) = 44

Multiply (3 + X2 + 4x) * (-2 + 5x)
(3(-2 + 5x) + X2(-2 + 5x) + 4x * (-2 + 5x)) = 44
((-2 * 3 + 5x * 3) + X2(-2 + 5x) + 4x * (-2 + 5x)) = 44
((-6 + 15x) + X2(-2 + 5x) + 4x * (-2 + 5x)) = 44
(-6 + 15x + (-2 * X2 + 5x * X2) + 4x * (-2 + 5x)) = 44
(-6 + 15x + (-2X2 + 5xX2) + 4x * (-2 + 5x)) = 44
(-6 + 15x + -2X2 + 5xX2 + (-2 * 4x + 5x * 4x)) = 44
(-6 + 15x + -2X2 + 5xX2 + (-8x + 20x2)) = 44

Reorder the terms:
(-6 + -2X2 + 15x + -8x + 5xX2 + 20x2) = 44

Combine like terms: 15x + -8x = 7x
(-6 + -2X2 + 7x + 5xX2 + 20x2) = 44

Solving
-6 + -2X2 + 7x + 5xX2 + 20x2 = 44

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + -2X2 + 7x + 5xX2 + 6 + 20x2 = 44 + 6

Reorder the terms:
-6 + 6 + -2X2 + 7x + 5xX2 + 20x2 = 44 + 6

Combine like terms: -6 + 6 = 0
0 + -2X2 + 7x + 5xX2 + 20x2 = 44 + 6
-2X2 + 7x + 5xX2 + 20x2 = 44 + 6

Combine like terms: 44 + 6 = 50
-2X2 + 7x + 5xX2 + 20x2 = 50

Add '-7x' to each side of the equation.
-2X2 + 7x + 5xX2 + -7x + 20x2 = 50 + -7x

Reorder the terms:
-2X2 + 7x + -7x + 5xX2 + 20x2 = 50 + -7x

Combine like terms: 7x + -7x = 0
-2X2 + 0 + 5xX2 + 20x2 = 50 + -7x
-2X2 + 5xX2 + 20x2 = 50 + -7x

Add '-20x2' to each side of the equation.
-2X2 + 5xX2 + 20x2 + -20x2 = 50 + -7x + -20x2

Combine like terms: 20x2 + -20x2 = 0
-2X2 + 5xX2 + 0 = 50 + -7x + -20x2
-2X2 + 5xX2 = 50 + -7x + -20x2

Reorder the terms:
-50 + -2X2 + 7x + 5xX2 + 20x2 = 50 + -7x + -20x2 + -50 + 7x + 20x2

Reorder the terms:
-50 + -2X2 + 7x + 5xX2 + 20x2 = 50 + -50 + -7x + 7x + -20x2 + 20x2

Combine like terms: 50 + -50 = 0
-50 + -2X2 + 7x + 5xX2 + 20x2 = 0 + -7x + 7x + -20x2 + 20x2
-50 + -2X2 + 7x + 5xX2 + 20x2 = -7x + 7x + -20x2 + 20x2

Combine like terms: -7x + 7x = 0
-50 + -2X2 + 7x + 5xX2 + 20x2 = 0 + -20x2 + 20x2
-50 + -2X2 + 7x + 5xX2 + 20x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-50 + -2X2 + 7x + 5xX2 + 20x2 = 0

The solution to this equation could not be determined.

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