16F^2+88F+96=0

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Solution for 16F^2+88F+96=0 equation:


Simplifying
16F2 + 88F + 96 = 0

Reorder the terms:
96 + 88F + 16F2 = 0

Solving
96 + 88F + 16F2 = 0

Solving for variable 'F'.

Factor out the Greatest Common Factor (GCF), '8'.
8(12 + 11F + 2F2) = 0

Factor a trinomial.
8((4 + F)(3 + 2F)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(4 + F)' equal to zero and attempt to solve: Simplifying 4 + F = 0 Solving 4 + F = 0 Move all terms containing F to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + F = 0 + -4 Combine like terms: 4 + -4 = 0 0 + F = 0 + -4 F = 0 + -4 Combine like terms: 0 + -4 = -4 F = -4 Simplifying F = -4

Subproblem 2

Set the factor '(3 + 2F)' equal to zero and attempt to solve: Simplifying 3 + 2F = 0 Solving 3 + 2F = 0 Move all terms containing F to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2F = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2F = 0 + -3 2F = 0 + -3 Combine like terms: 0 + -3 = -3 2F = -3 Divide each side by '2'. F = -1.5 Simplifying F = -1.5

Solution

F = {-4, -1.5}

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