(2k)(2k)-28k=-49

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Solution for (2k)(2k)-28k=-49 equation:


Simplifying
(2k)(2k) + -28k = -49

Remove parenthesis around (2k)
2k(2k) + -28k = -49

Remove parenthesis around (2k)
2k * 2k + -28k = -49

Reorder the terms for easier multiplication:
2 * 2k * k + -28k = -49

Multiply 2 * 2
4k * k + -28k = -49

Multiply k * k
4k2 + -28k = -49

Reorder the terms:
-28k + 4k2 = -49

Solving
-28k + 4k2 = -49

Solving for variable 'k'.

Reorder the terms:
49 + -28k + 4k2 = -49 + 49

Combine like terms: -49 + 49 = 0
49 + -28k + 4k2 = 0

Factor a trinomial.
(7 + -2k)(7 + -2k) = 0

Subproblem 1

Set the factor '(7 + -2k)' equal to zero and attempt to solve: Simplifying 7 + -2k = 0 Solving 7 + -2k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = 0 + -7 -2k = 0 + -7 Combine like terms: 0 + -7 = -7 -2k = -7 Divide each side by '-2'. k = 3.5 Simplifying k = 3.5

Subproblem 2

Set the factor '(7 + -2k)' equal to zero and attempt to solve: Simplifying 7 + -2k = 0 Solving 7 + -2k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = 0 + -7 -2k = 0 + -7 Combine like terms: 0 + -7 = -7 -2k = -7 Divide each side by '-2'. k = 3.5 Simplifying k = 3.5

Solution

k = {3.5, 3.5}

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