(x^2-m^3)*(x^2+m^3)=

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Solution for (x^2-m^3)*(x^2+m^3)= equation:


Simplifying
(x2 + -1m3)(x2 + m3) = 0

Reorder the terms:
(-1m3 + x2)(x2 + m3) = 0

Reorder the terms:
(-1m3 + x2)(m3 + x2) = 0

Multiply (-1m3 + x2) * (m3 + x2)
(-1m3 * (m3 + x2) + x2(m3 + x2)) = 0
((m3 * -1m3 + x2 * -1m3) + x2(m3 + x2)) = 0

Reorder the terms:
((-1m3x2 + -1m6) + x2(m3 + x2)) = 0
((-1m3x2 + -1m6) + x2(m3 + x2)) = 0
(-1m3x2 + -1m6 + (m3 * x2 + x2 * x2)) = 0
(-1m3x2 + -1m6 + (m3x2 + x4)) = 0

Reorder the terms:
(-1m3x2 + m3x2 + -1m6 + x4) = 0

Combine like terms: -1m3x2 + m3x2 = 0
(0 + -1m6 + x4) = 0
(-1m6 + x4) = 0

Solving
-1m6 + x4 = 0

Solving for variable 'm'.

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

Add '-1x4' to each side of the equation.
-1m6 + x4 + -1x4 = 0 + -1x4

Combine like terms: x4 + -1x4 = 0
-1m6 + 0 = 0 + -1x4
-1m6 = 0 + -1x4
Remove the zero:
-1m6 = -1x4

Divide each side by '-1'.
m6 = x4

Simplifying
m6 = x4

Combine like terms: x4 + -1x4 = 0
m6 + -1x4 = 0

Factor a difference between two squares.
(m3 + x2)(m3 + -1x2) = 0

Subproblem 1

Set the factor '(m3 + x2)' equal to zero and attempt to solve: Simplifying m3 + x2 = 0 Solving m3 + x2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x2' to each side of the equation. m3 + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 m3 + 0 = 0 + -1x2 m3 = 0 + -1x2 Remove the zero: m3 = -1x2 Simplifying m3 = -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(m3 + -1x2)' equal to zero and attempt to solve: Simplifying m3 + -1x2 = 0 Solving m3 + -1x2 = 0 Move all terms containing m to the left, all other terms to the right. Add 'x2' to each side of the equation. m3 + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 m3 + 0 = 0 + x2 m3 = 0 + x2 Remove the zero: m3 = x2 Simplifying m3 = x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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