7h^2-48h-7=0

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Solution for 7h^2-48h-7=0 equation:


Simplifying
7h2 + -48h + -7 = 0

Reorder the terms:
-7 + -48h + 7h2 = 0

Solving
-7 + -48h + 7h2 = 0

Solving for variable 'h'.

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

Subproblem 1

Set the factor '(-1 + -7h)' equal to zero and attempt to solve: Simplifying -1 + -7h = 0 Solving -1 + -7h = 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 + -7h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7h = 0 + 1 -7h = 0 + 1 Combine like terms: 0 + 1 = 1 -7h = 1 Divide each side by '-7'. h = -0.1428571429 Simplifying h = -0.1428571429

Subproblem 2

Set the factor '(7 + -1h)' equal to zero and attempt to solve: Simplifying 7 + -1h = 0 Solving 7 + -1h = 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 + -1h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1h = 0 + -7 -1h = 0 + -7 Combine like terms: 0 + -7 = -7 -1h = -7 Divide each side by '-1'. h = 7 Simplifying h = 7

Solution

h = {-0.1428571429, 7}

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