X^3+3x^2-20=13x-(4x-7)

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Solution for X^3+3x^2-20=13x-(4x-7) equation:


Simplifying
X3 + 3x2 + -20 = 13x + -1(4x + -7)

Reorder the terms:
-20 + X3 + 3x2 = 13x + -1(4x + -7)

Reorder the terms:
-20 + X3 + 3x2 = 13x + -1(-7 + 4x)
-20 + X3 + 3x2 = 13x + (-7 * -1 + 4x * -1)
-20 + X3 + 3x2 = 13x + (7 + -4x)

Reorder the terms:
-20 + X3 + 3x2 = 7 + 13x + -4x

Combine like terms: 13x + -4x = 9x
-20 + X3 + 3x2 = 7 + 9x

Solving
-20 + X3 + 3x2 = 7 + 9x

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + X3 + 20 + 3x2 = 7 + 20 + 9x

Reorder the terms:
-20 + 20 + X3 + 3x2 = 7 + 20 + 9x

Combine like terms: -20 + 20 = 0
0 + X3 + 3x2 = 7 + 20 + 9x
X3 + 3x2 = 7 + 20 + 9x

Combine like terms: 7 + 20 = 27
X3 + 3x2 = 27 + 9x

Add '-3x2' to each side of the equation.
X3 + 3x2 + -3x2 = 27 + 9x + -3x2

Combine like terms: 3x2 + -3x2 = 0
X3 + 0 = 27 + 9x + -3x2
X3 = 27 + 9x + -3x2

Simplifying
X3 = 27 + 9x + -3x2

Reorder the terms:
-27 + X3 + -9x + 3x2 = 27 + 9x + -3x2 + -27 + -9x + 3x2

Reorder the terms:
-27 + X3 + -9x + 3x2 = 27 + -27 + 9x + -9x + -3x2 + 3x2

Combine like terms: 27 + -27 = 0
-27 + X3 + -9x + 3x2 = 0 + 9x + -9x + -3x2 + 3x2
-27 + X3 + -9x + 3x2 = 9x + -9x + -3x2 + 3x2

Combine like terms: 9x + -9x = 0
-27 + X3 + -9x + 3x2 = 0 + -3x2 + 3x2
-27 + X3 + -9x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-27 + X3 + -9x + 3x2 = 0

The solution to this equation could not be determined.

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