h(6h-7)(h+1)=0

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Solution for h(6h-7)(h+1)=0 equation: 


Simplifying
h(6h + -7)(h + 1) = 0

Reorder the terms:
h(-7 + 6h)(h + 1) = 0

Reorder the terms:
h(-7 + 6h)(1 + h) = 0

Multiply (-7 + 6h) * (1 + h)
h(-7(1 + h) + 6h * (1 + h)) = 0
h((1 * -7 + h * -7) + 6h * (1 + h)) = 0
h((-7 + -7h) + 6h * (1 + h)) = 0
h(-7 + -7h + (1 * 6h + h * 6h)) = 0
h(-7 + -7h + (6h + 6h2)) = 0

Combine like terms: -7h + 6h = -1h
h(-7 + -1h + 6h2) = 0
(-7 * h + -1h * h + 6h2 * h) = 0
(-7h + -1h2 + 6h3) = 0

Solving
-7h + -1h2 + 6h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(-7 + -1h + 6h2) = 0

Factor a trinomial.
h((-1 + -1h)(7 + -6h)) = 0


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

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0

Subproblem 2
Set the factor '(-1 + -1h)' equal to zero and attempt to solve:

Simplifying
-1 + -1h = 0

Solving
-1 + -1h = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1h = 0 + 1
-1h = 0 + 1

Combine like terms: 0 + 1 = 1
-1h = 1

Divide each side by '-1'.
h = -1

Simplifying
h = -1

Subproblem 3
Set the factor '(7 + -6h)' equal to zero and attempt to solve:

Simplifying
7 + -6h = 0

Solving
7 + -6h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6h = 0 + -7
-6h = 0 + -7

Combine like terms: 0 + -7 = -7
-6h = -7

Divide each side by '-6'.
h = 1.166666667

Simplifying
h = 1.166666667
Solution
h = {0, -1, 1.166666667}

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