rad((x-7)*(x-7)*(x-7))=x-3

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Solution for rad((x-7)*(x-7)*(x-7))=x-3 equation:


Simplifying
rad((x + -7)(x + -7)(x + -7)) = x + -3

Reorder the terms:
adr((-7 + x)(x + -7)(x + -7)) = x + -3

Reorder the terms:
adr((-7 + x)(-7 + x)(x + -7)) = x + -3

Reorder the terms:
adr((-7 + x)(-7 + x)(-7 + x)) = x + -3

Multiply (-7 + x) * (-7 + x)
adr((-7(-7 + x) + x(-7 + x))(-7 + x)) = x + -3
adr(((-7 * -7 + x * -7) + x(-7 + x))(-7 + x)) = x + -3
adr(((49 + -7x) + x(-7 + x))(-7 + x)) = x + -3
adr((49 + -7x + (-7 * x + x * x))(-7 + x)) = x + -3
adr((49 + -7x + (-7x + x2))(-7 + x)) = x + -3

Combine like terms: -7x + -7x = -14x
adr((49 + -14x + x2)(-7 + x)) = x + -3

Multiply (49 + -14x + x2) * (-7 + x)
adr((49(-7 + x) + -14x * (-7 + x) + x2(-7 + x))) = x + -3
adr(((-7 * 49 + x * 49) + -14x * (-7 + x) + x2(-7 + x))) = x + -3
adr(((-343 + 49x) + -14x * (-7 + x) + x2(-7 + x))) = x + -3
adr((-343 + 49x + (-7 * -14x + x * -14x) + x2(-7 + x))) = x + -3
adr((-343 + 49x + (98x + -14x2) + x2(-7 + x))) = x + -3
adr((-343 + 49x + 98x + -14x2 + (-7 * x2 + x * x2))) = x + -3
adr((-343 + 49x + 98x + -14x2 + (-7x2 + x3))) = x + -3

Combine like terms: 49x + 98x = 147x
adr((-343 + 147x + -14x2 + -7x2 + x3)) = x + -3

Combine like terms: -14x2 + -7x2 = -21x2
adr((-343 + 147x + -21x2 + x3)) = x + -3
(-343 * adr + 147x * adr + -21x2 * adr + x3 * adr) = x + -3
(-343adr + 147adrx + -21adrx2 + adrx3) = x + -3

Reorder the terms:
-343adr + 147adrx + -21adrx2 + adrx3 = -3 + x

Solving
-343adr + 147adrx + -21adrx2 + adrx3 = -3 + x

Solving for variable 'a'.

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

Reorder the terms:
3 + -343adr + 147adrx + -21adrx2 + adrx3 + -1x = -3 + x + 3 + -1x

Reorder the terms:
3 + -343adr + 147adrx + -21adrx2 + adrx3 + -1x = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
3 + -343adr + 147adrx + -21adrx2 + adrx3 + -1x = 0 + x + -1x
3 + -343adr + 147adrx + -21adrx2 + adrx3 + -1x = x + -1x

Combine like terms: x + -1x = 0
3 + -343adr + 147adrx + -21adrx2 + adrx3 + -1x = 0

The solution to this equation could not be determined.

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