-10h(h-2)-4=36

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Solution for -10h(h-2)-4=36 equation: 


Simplifying
-10h(h + -2) + -4 = 36

Reorder the terms:
-10h(-2 + h) + -4 = 36
(-2 * -10h + h * -10h) + -4 = 36
(20h + -10h2) + -4 = 36

Reorder the terms:
-4 + 20h + -10h2 = 36

Solving
-4 + 20h + -10h2 = 36

Solving for variable 'h'.

Reorder the terms:
-4 + -36 + 20h + -10h2 = 36 + -36

Combine like terms: -4 + -36 = -40
-40 + 20h + -10h2 = 36 + -36

Combine like terms: 36 + -36 = 0
-40 + 20h + -10h2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-4 + 2h + -1h2) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-4 + 2h + -1h2)' equal to zero and attempt to solve:

Simplifying
-4 + 2h + -1h2 = 0

Solving
-4 + 2h + -1h2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
4 + -2h + h2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2h + -4 + h2 = 0 + -4

Reorder the terms:
4 + -4 + -2h + h2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2h + h2 = 0 + -4
-2h + h2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2h + h2 = -4

The h term is -2h.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2h + 1 + h2 = -4 + 1

Reorder the terms:
1 + -2h + h2 = -4 + 1

Combine like terms: -4 + 1 = -3
1 + -2h + h2 = -3

Factor a perfect square on the left side:
(h + -1)(h + -1) = -3

Can't calculate square root of the right side.

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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