4h^2(5+2h)+4h^2-h^3=

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Solution for 4h^2(5+2h)+4h^2-h^3= equation:


Simplifying
4h2(5 + 2h) + 4h2 + -1h3 = 0
(5 * 4h2 + 2h * 4h2) + 4h2 + -1h3 = 0
(20h2 + 8h3) + 4h2 + -1h3 = 0

Reorder the terms:
20h2 + 4h2 + 8h3 + -1h3 = 0

Combine like terms: 20h2 + 4h2 = 24h2
24h2 + 8h3 + -1h3 = 0

Combine like terms: 8h3 + -1h3 = 7h3
24h2 + 7h3 = 0

Solving
24h2 + 7h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h2'.
h2(24 + 7h) = 0

Subproblem 1

Set the factor 'h2' equal to zero and attempt to solve: Simplifying h2 = 0 Solving h2 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h2 = 0 Take the square root of each side: h = {0}

Subproblem 2

Set the factor '(24 + 7h)' equal to zero and attempt to solve: Simplifying 24 + 7h = 0 Solving 24 + 7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 7h = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7h = 0 + -24 7h = 0 + -24 Combine like terms: 0 + -24 = -24 7h = -24 Divide each side by '7'. h = -3.428571429 Simplifying h = -3.428571429

Solution

h = {0, -3.428571429}

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