h^2-10h=-32

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Solution for h^2-10h=-32 equation:


Simplifying
h2 + -10h = -32

Reorder the terms:
-10h + h2 = -32

Solving
-10h + h2 = -32

Solving for variable 'h'.

Reorder the terms:
32 + -10h + h2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + -10h + h2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -10h + -32 + h2 = 0 + -32

Reorder the terms:
32 + -32 + -10h + h2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -10h + h2 = 0 + -32
-10h + h2 = 0 + -32

Combine like terms: 0 + -32 = -32
-10h + h2 = -32

The h term is -10h.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10h + 25 + h2 = -32 + 25

Reorder the terms:
25 + -10h + h2 = -32 + 25

Combine like terms: -32 + 25 = -7
25 + -10h + h2 = -7

Factor a perfect square on the left side:
(h + -5)(h + -5) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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