(2h^3-4)(6h^3+5)=

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Solution for (2h^3-4)(6h^3+5)= equation: 


Simplifying
(2h3 + -4)(6h3 + 5) = 0

Reorder the terms:
(-4 + 2h3)(6h3 + 5) = 0

Reorder the terms:
(-4 + 2h3)(5 + 6h3) = 0

Multiply (-4 + 2h3) * (5 + 6h3)
(-4(5 + 6h3) + 2h3 * (5 + 6h3)) = 0
((5 * -4 + 6h3 * -4) + 2h3 * (5 + 6h3)) = 0
((-20 + -24h3) + 2h3 * (5 + 6h3)) = 0
(-20 + -24h3 + (5 * 2h3 + 6h3 * 2h3)) = 0
(-20 + -24h3 + (10h3 + 12h6)) = 0

Combine like terms: -24h3 + 10h3 = -14h3
(-20 + -14h3 + 12h6) = 0

Solving
-20 + -14h3 + 12h6 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -7h3 + 6h6) = 0

Factor a trinomial.
2((-5 + -6h3)(2 + -1h3)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -6h3)' equal to zero and attempt to solve:

Simplifying
-5 + -6h3 = 0

Solving
-5 + -6h3 = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6h3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6h3 = 0 + 5
-6h3 = 0 + 5

Combine like terms: 0 + 5 = 5
-6h3 = 5

Divide each side by '-6'.
h3 = -0.8333333333

Simplifying
h3 = -0.8333333333

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 '(2 + -1h3)' equal to zero and attempt to solve:

Simplifying
2 + -1h3 = 0

Solving
2 + -1h3 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1h3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1h3 = 0 + -2
-1h3 = 0 + -2

Combine like terms: 0 + -2 = -2
-1h3 = -2

Divide each side by '-1'.
h3 = 2

Simplifying
h3 = 2

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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