3k^2+7k-33=7

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Solution for 3k^2+7k-33=7 equation:


Simplifying
3k2 + 7k + -33 = 7

Reorder the terms:
-33 + 7k + 3k2 = 7

Solving
-33 + 7k + 3k2 = 7

Solving for variable 'k'.

Reorder the terms:
-33 + -7 + 7k + 3k2 = 7 + -7

Combine like terms: -33 + -7 = -40
-40 + 7k + 3k2 = 7 + -7

Combine like terms: 7 + -7 = 0
-40 + 7k + 3k2 = 0

Factor a trinomial.
(-5 + -1k)(8 + -3k) = 0

Subproblem 1

Set the factor '(-5 + -1k)' equal to zero and attempt to solve: Simplifying -5 + -1k = 0 Solving -5 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = 0 + 5 -1k = 0 + 5 Combine like terms: 0 + 5 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5

Subproblem 2

Set the factor '(8 + -3k)' equal to zero and attempt to solve: Simplifying 8 + -3k = 0 Solving 8 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3k = 0 + -8 -3k = 0 + -8 Combine like terms: 0 + -8 = -8 -3k = -8 Divide each side by '-3'. k = 2.666666667 Simplifying k = 2.666666667

Solution

k = {-5, 2.666666667}

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