4k^2-7k=2

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Solution for 4k^2-7k=2 equation:


Simplifying
4k2 + -7k = 2

Reorder the terms:
-7k + 4k2 = 2

Solving
-7k + 4k2 = 2

Solving for variable 'k'.

Reorder the terms:
-2 + -7k + 4k2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -7k + 4k2 = 0

Factor a trinomial.
(-1 + -4k)(2 + -1k) = 0

Subproblem 1

Set the factor '(-1 + -4k)' equal to zero and attempt to solve: Simplifying -1 + -4k = 0 Solving -1 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4k = 0 + 1 -4k = 0 + 1 Combine like terms: 0 + 1 = 1 -4k = 1 Divide each side by '-4'. k = -0.25 Simplifying k = -0.25

Subproblem 2

Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2

Solution

k = {-0.25, 2}

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