(ex+1)(2x+3)(x+2)x=63

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Solution for (ex+1)(2x+3)(x+2)x=63 equation:


Simplifying
(ex + 1)(2x + 3)(x + 2) * x = 63

Reorder the terms:
(1 + ex)(2x + 3)(x + 2) * x = 63

Reorder the terms:
(1 + ex)(3 + 2x)(x + 2) * x = 63

Reorder the terms:
(1 + ex)(3 + 2x)(2 + x) * x = 63

Reorder the terms for easier multiplication:
x(1 + ex)(3 + 2x)(2 + x) = 63

Multiply (1 + ex) * (3 + 2x)
x(1(3 + 2x) + ex(3 + 2x))(2 + x) = 63
x((3 * 1 + 2x * 1) + ex(3 + 2x))(2 + x) = 63
x((3 + 2x) + ex(3 + 2x))(2 + x) = 63
x(3 + 2x + (3 * ex + 2x * ex))(2 + x) = 63
x(3 + 2x + (3ex + 2ex2))(2 + x) = 63

Reorder the terms:
x(3 + 3ex + 2ex2 + 2x)(2 + x) = 63
x(3 + 3ex + 2ex2 + 2x)(2 + x) = 63

Multiply (3 + 3ex + 2ex2 + 2x) * (2 + x)
x(3(2 + x) + 3ex * (2 + x) + 2ex2 * (2 + x) + 2x * (2 + x)) = 63
x((2 * 3 + x * 3) + 3ex * (2 + x) + 2ex2 * (2 + x) + 2x * (2 + x)) = 63
x((6 + 3x) + 3ex * (2 + x) + 2ex2 * (2 + x) + 2x * (2 + x)) = 63
x(6 + 3x + (2 * 3ex + x * 3ex) + 2ex2 * (2 + x) + 2x * (2 + x)) = 63
x(6 + 3x + (6ex + 3ex2) + 2ex2 * (2 + x) + 2x * (2 + x)) = 63
x(6 + 3x + 6ex + 3ex2 + (2 * 2ex2 + x * 2ex2) + 2x * (2 + x)) = 63
x(6 + 3x + 6ex + 3ex2 + (4ex2 + 2ex3) + 2x * (2 + x)) = 63
x(6 + 3x + 6ex + 3ex2 + 4ex2 + 2ex3 + (2 * 2x + x * 2x)) = 63
x(6 + 3x + 6ex + 3ex2 + 4ex2 + 2ex3 + (4x + 2x2)) = 63

Reorder the terms:
x(6 + 6ex + 3ex2 + 4ex2 + 2ex3 + 3x + 4x + 2x2) = 63

Combine like terms: 3ex2 + 4ex2 = 7ex2
x(6 + 6ex + 7ex2 + 2ex3 + 3x + 4x + 2x2) = 63

Combine like terms: 3x + 4x = 7x
x(6 + 6ex + 7ex2 + 2ex3 + 7x + 2x2) = 63
(6 * x + 6ex * x + 7ex2 * x + 2ex3 * x + 7x * x + 2x2 * x) = 63

Reorder the terms:
(6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3) = 63
(6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3) = 63

Solving
6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = 63

Solving for variable 'e'.

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

Add '-6x' to each side of the equation.
6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + -6x + 2x3 = 63 + -6x

Reorder the terms:
6ex2 + 7ex3 + 2ex4 + 6x + -6x + 7x2 + 2x3 = 63 + -6x

Combine like terms: 6x + -6x = 0
6ex2 + 7ex3 + 2ex4 + 0 + 7x2 + 2x3 = 63 + -6x
6ex2 + 7ex3 + 2ex4 + 7x2 + 2x3 = 63 + -6x

Add '-7x2' to each side of the equation.
6ex2 + 7ex3 + 2ex4 + 7x2 + -7x2 + 2x3 = 63 + -6x + -7x2

Combine like terms: 7x2 + -7x2 = 0
6ex2 + 7ex3 + 2ex4 + 0 + 2x3 = 63 + -6x + -7x2
6ex2 + 7ex3 + 2ex4 + 2x3 = 63 + -6x + -7x2

Add '-2x3' to each side of the equation.
6ex2 + 7ex3 + 2ex4 + 2x3 + -2x3 = 63 + -6x + -7x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
6ex2 + 7ex3 + 2ex4 + 0 = 63 + -6x + -7x2 + -2x3
6ex2 + 7ex3 + 2ex4 = 63 + -6x + -7x2 + -2x3

Reorder the terms:
-63 + 6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = 63 + -6x + -7x2 + -2x3 + -63 + 6x + 7x2 + 2x3

Reorder the terms:
-63 + 6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = 63 + -63 + -6x + 6x + -7x2 + 7x2 + -2x3 + 2x3

Combine like terms: 63 + -63 = 0
-63 + 6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = 0 + -6x + 6x + -7x2 + 7x2 + -2x3 + 2x3
-63 + 6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = -6x + 6x + -7x2 + 7x2 + -2x3 + 2x3

Combine like terms: -6x + 6x = 0
-63 + 6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = 0 + -7x2 + 7x2 + -2x3 + 2x3
-63 + 6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = -7x2 + 7x2 + -2x3 + 2x3

Combine like terms: -7x2 + 7x2 = 0
-63 + 6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = 0 + -2x3 + 2x3
-63 + 6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
-63 + 6ex2 + 7ex3 + 2ex4 + 6x + 7x2 + 2x3 = 0

The solution to this equation could not be determined.

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