7n^2-34n=-24

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Solution for 7n^2-34n=-24 equation:


Simplifying
7n2 + -34n = -24

Reorder the terms:
-34n + 7n2 = -24

Solving
-34n + 7n2 = -24

Solving for variable 'n'.

Reorder the terms:
24 + -34n + 7n2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -34n + 7n2 = 0

Factor a trinomial.
(6 + -7n)(4 + -1n) = 0

Subproblem 1

Set the factor '(6 + -7n)' equal to zero and attempt to solve: Simplifying 6 + -7n = 0 Solving 6 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7n = 0 + -6 -7n = 0 + -6 Combine like terms: 0 + -6 = -6 -7n = -6 Divide each side by '-7'. n = 0.8571428571 Simplifying n = 0.8571428571

Subproblem 2

Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4

Solution

n = {0.8571428571, 4}

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