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Simplifying 4k2 + 7k = 65 Reorder the terms: 7k + 4k2 = 65 Solving 7k + 4k2 = 65 Solving for variable 'k'. Reorder the terms: -65 + 7k + 4k2 = 65 + -65 Combine like terms: 65 + -65 = 0 -65 + 7k + 4k2 = 0 Factor a trinomial. (-5 + -1k)(13 + -4k) = 0Subproblem 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 = -5Subproblem 2
Set the factor '(13 + -4k)' equal to zero and attempt to solve: Simplifying 13 + -4k = 0 Solving 13 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4k = 0 + -13 -4k = 0 + -13 Combine like terms: 0 + -13 = -13 -4k = -13 Divide each side by '-4'. k = 3.25 Simplifying k = 3.25Solution
k = {-5, 3.25}
| 7x+10=87 | | -8-7t=62 | | 7+4a=11 | | -5+2d=-23 | | 1+5b=61 | | 10+5n=60 | | -4d-5=-41 | | 5a+10=55 | | 6a-7=-79 | | 2t-1=-13 | | 5t+5=-25 | | -5m-4=11 | | -2a+7=-9 | | 4d+6=34 | | 6+3a=21 | | 6a+2=-22 | | -2m+2=0 | | 5a+6=51 | | 1+2n=-3 | | 2w-7=17 | | 4-2t=-6 | | 7+3a=22 | | 7w-8=6 | | (-4/5v)+1=(-2/5v)-(4/5) | | 10+3w=1 | | -7d-10=-73 | | -2w-5=-11 | | 6+6k=6 | | 9+4a=-15 | | -7+5k=-27 | | 4n^2=9n+100 | | -5m+5=25 |