X(x+2)+(x+2)(x+4)=1458

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Solution for X(x+2)+(x+2)(x+4)=1458 equation: 


Simplifying
X(x + 2) + (x + 2)(x + 4) = 1458

Reorder the terms:
X(2 + x) + (x + 2)(x + 4) = 1458
(2 * X + x * X) + (x + 2)(x + 4) = 1458
(2X + xX) + (x + 2)(x + 4) = 1458

Reorder the terms:
2X + xX + (2 + x)(x + 4) = 1458

Reorder the terms:
2X + xX + (2 + x)(4 + x) = 1458

Multiply (2 + x) * (4 + x)
2X + xX + (2(4 + x) + x(4 + x)) = 1458
2X + xX + ((4 * 2 + x * 2) + x(4 + x)) = 1458
2X + xX + ((8 + 2x) + x(4 + x)) = 1458
2X + xX + (8 + 2x + (4 * x + x * x)) = 1458
2X + xX + (8 + 2x + (4x + x2)) = 1458

Combine like terms: 2x + 4x = 6x
2X + xX + (8 + 6x + x2) = 1458

Reorder the terms:
8 + 2X + 6x + xX + x2 = 1458

Solving
8 + 2X + 6x + xX + x2 = 1458

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + 2X + 6x + xX + -8 + x2 = 1458 + -8

Reorder the terms:
8 + -8 + 2X + 6x + xX + x2 = 1458 + -8

Combine like terms: 8 + -8 = 0
0 + 2X + 6x + xX + x2 = 1458 + -8
2X + 6x + xX + x2 = 1458 + -8

Combine like terms: 1458 + -8 = 1450
2X + 6x + xX + x2 = 1450

Add '-6x' to each side of the equation.
2X + 6x + xX + -6x + x2 = 1450 + -6x

Reorder the terms:
2X + 6x + -6x + xX + x2 = 1450 + -6x

Combine like terms: 6x + -6x = 0
2X + 0 + xX + x2 = 1450 + -6x
2X + xX + x2 = 1450 + -6x

Add '-1x2' to each side of the equation.
2X + xX + x2 + -1x2 = 1450 + -6x + -1x2

Combine like terms: x2 + -1x2 = 0
2X + xX + 0 = 1450 + -6x + -1x2
2X + xX = 1450 + -6x + -1x2

Reorder the terms:
-1450 + 2X + 6x + xX + x2 = 1450 + -6x + -1x2 + -1450 + 6x + x2

Reorder the terms:
-1450 + 2X + 6x + xX + x2 = 1450 + -1450 + -6x + 6x + -1x2 + x2

Combine like terms: 1450 + -1450 = 0
-1450 + 2X + 6x + xX + x2 = 0 + -6x + 6x + -1x2 + x2
-1450 + 2X + 6x + xX + x2 = -6x + 6x + -1x2 + x2

Combine like terms: -6x + 6x = 0
-1450 + 2X + 6x + xX + x2 = 0 + -1x2 + x2
-1450 + 2X + 6x + xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1450 + 2X + 6x + xX + x2 = 0

The solution to this equation could not be determined.

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