h^2-8h+24=0

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Solution for h^2-8h+24=0 equation:


Simplifying
h2 + -8h + 24 = 0

Reorder the terms:
24 + -8h + h2 = 0

Solving
24 + -8h + h2 = 0

Solving for variable 'h'.

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -8h + -24 + h2 = 0 + -24

Reorder the terms:
24 + -24 + -8h + h2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -8h + h2 = 0 + -24
-8h + h2 = 0 + -24

Combine like terms: 0 + -24 = -24
-8h + h2 = -24

The h term is -8h.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8h + 16 + h2 = -24 + 16

Reorder the terms:
16 + -8h + h2 = -24 + 16

Combine like terms: -24 + 16 = -8
16 + -8h + h2 = -8

Factor a perfect square on the left side:
(h + -4)(h + -4) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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