h*h+10h=-21

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Solution for h*h+10h=-21 equation:


Simplifying
h * h + 10h = -21

Multiply h * h
h2 + 10h = -21

Reorder the terms:
10h + h2 = -21

Solving
10h + h2 = -21

Solving for variable 'h'.

Reorder the terms:
21 + 10h + h2 = -21 + 21

Combine like terms: -21 + 21 = 0
21 + 10h + h2 = 0

Factor a trinomial.
(7 + h)(3 + h) = 0

Subproblem 1

Set the factor '(7 + h)' equal to zero and attempt to solve: Simplifying 7 + h = 0 Solving 7 + h = 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 + h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + h = 0 + -7 h = 0 + -7 Combine like terms: 0 + -7 = -7 h = -7 Simplifying h = -7

Subproblem 2

Set the factor '(3 + h)' equal to zero and attempt to solve: Simplifying 3 + h = 0 Solving 3 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + h = 0 + -3 h = 0 + -3 Combine like terms: 0 + -3 = -3 h = -3 Simplifying h = -3

Solution

h = {-7, -3}

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