16a^3-64a+7=7

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Solution for 16a^3-64a+7=7 equation: 


Simplifying
16a3 + -64a + 7 = 7

Reorder the terms:
7 + -64a + 16a3 = 7

Add '-7' to each side of the equation.
7 + -64a + -7 + 16a3 = 7 + -7

Reorder the terms:
7 + -7 + -64a + 16a3 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + -64a + 16a3 = 7 + -7
-64a + 16a3 = 7 + -7

Combine like terms: 7 + -7 = 0
-64a + 16a3 = 0

Solving
-64a + 16a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '16a'.
16a(-4 + a2) = 0

Factor a difference between two squares.
16a((2 + a)(-2 + a)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 0

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

Add '-2' to each side of the equation.
2 + -2 + a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + a = 0 + -2
a = 0 + -2

Combine like terms: 0 + -2 = -2
a = -2

Simplifying
a = -2

Subproblem 3
Set the factor '(-2 + a)' equal to zero and attempt to solve:

Simplifying
-2 + a = 0

Solving
-2 + a = 0

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

Add '2' to each side of the equation.
-2 + 2 + a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + a = 0 + 2
a = 0 + 2

Combine like terms: 0 + 2 = 2
a = 2

Simplifying
a = 2
Solution
a = {0, -2, 2}

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