sqrtx^2+3x-6=x^4-3x^2+2

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Solution for sqrtx^2+3x-6=x^4-3x^2+2 equation:


Simplifying
sqrtx2 + 3x + -6 = x4 + -3x2 + 2

Reorder the terms:
-6 + qrstx2 + 3x = x4 + -3x2 + 2

Reorder the terms:
-6 + qrstx2 + 3x = 2 + -3x2 + x4

Solving
-6 + qrstx2 + 3x = 2 + -3x2 + x4

Solving for variable 'q'.

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

Add '6' to each side of the equation.
-6 + qrstx2 + 6 + 3x = 2 + -3x2 + 6 + x4

Reorder the terms:
-6 + 6 + qrstx2 + 3x = 2 + -3x2 + 6 + x4

Combine like terms: -6 + 6 = 0
0 + qrstx2 + 3x = 2 + -3x2 + 6 + x4
qrstx2 + 3x = 2 + -3x2 + 6 + x4

Reorder the terms:
qrstx2 + 3x = 2 + 6 + -3x2 + x4

Combine like terms: 2 + 6 = 8
qrstx2 + 3x = 8 + -3x2 + x4

Add '-3x' to each side of the equation.
qrstx2 + 3x + -3x = 8 + -3x2 + -3x + x4

Combine like terms: 3x + -3x = 0
qrstx2 + 0 = 8 + -3x2 + -3x + x4
qrstx2 = 8 + -3x2 + -3x + x4

Reorder the terms:
qrstx2 = 8 + -3x + -3x2 + x4

Divide each side by 'rstx2'.
q = 8r-1s-1t-1x-2 + -3r-1s-1t-1x-1 + -3r-1s-1t-1 + r-1s-1t-1x2

Simplifying
q = 8r-1s-1t-1x-2 + -3r-1s-1t-1x-1 + -3r-1s-1t-1 + r-1s-1t-1x2

Reorder the terms:
q = -3r-1s-1t-1 + 8r-1s-1t-1x-2 + -3r-1s-1t-1x-1 + r-1s-1t-1x2

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