x^3-2x^2+x-30=3x^2+10x-75

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Solution for x^3-2x^2+x-30=3x^2+10x-75 equation:


Simplifying
x3 + -2x2 + x + -30 = 3x2 + 10x + -75

Reorder the terms:
-30 + x + -2x2 + x3 = 3x2 + 10x + -75

Reorder the terms:
-30 + x + -2x2 + x3 = -75 + 10x + 3x2

Solving
-30 + x + -2x2 + x3 = -75 + 10x + 3x2

Solving for variable 'x'.

Reorder the terms:
-30 + 75 + x + -10x + -2x2 + -3x2 + x3 = -75 + 10x + 3x2 + 75 + -10x + -3x2

Combine like terms: -30 + 75 = 45
45 + x + -10x + -2x2 + -3x2 + x3 = -75 + 10x + 3x2 + 75 + -10x + -3x2

Combine like terms: x + -10x = -9x
45 + -9x + -2x2 + -3x2 + x3 = -75 + 10x + 3x2 + 75 + -10x + -3x2

Combine like terms: -2x2 + -3x2 = -5x2
45 + -9x + -5x2 + x3 = -75 + 10x + 3x2 + 75 + -10x + -3x2

Reorder the terms:
45 + -9x + -5x2 + x3 = -75 + 75 + 10x + -10x + 3x2 + -3x2

Combine like terms: -75 + 75 = 0
45 + -9x + -5x2 + x3 = 0 + 10x + -10x + 3x2 + -3x2
45 + -9x + -5x2 + x3 = 10x + -10x + 3x2 + -3x2

Combine like terms: 10x + -10x = 0
45 + -9x + -5x2 + x3 = 0 + 3x2 + -3x2
45 + -9x + -5x2 + x3 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
45 + -9x + -5x2 + x3 = 0

The solution to this equation could not be determined.

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