(2k-7)(-3k+5)=

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Solution for (2k-7)(-3k+5)= equation:


Simplifying
(2k + -7)(-3k + 5) = 0

Reorder the terms:
(-7 + 2k)(-3k + 5) = 0

Reorder the terms:
(-7 + 2k)(5 + -3k) = 0

Multiply (-7 + 2k) * (5 + -3k)
(-7(5 + -3k) + 2k * (5 + -3k)) = 0
((5 * -7 + -3k * -7) + 2k * (5 + -3k)) = 0
((-35 + 21k) + 2k * (5 + -3k)) = 0
(-35 + 21k + (5 * 2k + -3k * 2k)) = 0
(-35 + 21k + (10k + -6k2)) = 0

Combine like terms: 21k + 10k = 31k
(-35 + 31k + -6k2) = 0

Solving
-35 + 31k + -6k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-7 + 2k)(5 + -3k) = 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 '(5 + -3k)' equal to zero and attempt to solve: Simplifying 5 + -3k = 0 Solving 5 + -3k = 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 + -3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3k = 0 + -5 -3k = 0 + -5 Combine like terms: 0 + -5 = -5 -3k = -5 Divide each side by '-3'. k = 1.666666667 Simplifying k = 1.666666667

Solution

k = {3.5, 1.666666667}

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