(x-h)(x^2+xh+h^2)=0

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Solution for (x-h)(x^2+xh+h^2)=0 equation:


Simplifying
(x + -1h)(x2 + xh + h2) = 0

Reorder the terms:
(-1h + x)(x2 + xh + h2) = 0

Reorder the terms:
(-1h + x)(hx + h2 + x2) = 0

Multiply (-1h + x) * (hx + h2 + x2)
(-1h * (hx + h2 + x2) + x(hx + h2 + x2)) = 0
((hx * -1h + h2 * -1h + x2 * -1h) + x(hx + h2 + x2)) = 0

Reorder the terms:
((-1hx2 + -1h2x + -1h3) + x(hx + h2 + x2)) = 0
((-1hx2 + -1h2x + -1h3) + x(hx + h2 + x2)) = 0
(-1hx2 + -1h2x + -1h3 + (hx * x + h2 * x + x2 * x)) = 0
(-1hx2 + -1h2x + -1h3 + (hx2 + h2x + x3)) = 0

Reorder the terms:
(-1hx2 + hx2 + -1h2x + h2x + -1h3 + x3) = 0

Combine like terms: -1hx2 + hx2 = 0
(0 + -1h2x + h2x + -1h3 + x3) = 0
(-1h2x + h2x + -1h3 + x3) = 0

Combine like terms: -1h2x + h2x = 0
(0 + -1h3 + x3) = 0
(-1h3 + x3) = 0

Solving
-1h3 + x3 = 0

Solving for variable 'h'.

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

Add '-1x3' to each side of the equation.
-1h3 + x3 + -1x3 = 0 + -1x3

Combine like terms: x3 + -1x3 = 0
-1h3 + 0 = 0 + -1x3
-1h3 = 0 + -1x3
Remove the zero:
-1h3 = -1x3

Divide each side by '-1'.
h3 = x3

Simplifying
h3 = x3

Combine like terms: x3 + -1x3 = 0
h3 + -1x3 = 0

The solution to this equation could not be determined.

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