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Simplifying 28n2 + 16n + -80 = 0 Reorder the terms: -80 + 16n + 28n2 = 0 Solving -80 + 16n + 28n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4'. 4(-20 + 4n + 7n2) = 0 Factor a trinomial. 4((-2 + -1n)(10 + -7n)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -1n)' equal to zero and attempt to solve: Simplifying -2 + -1n = 0 Solving -2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 0 + 2 -1n = 0 + 2 Combine like terms: 0 + 2 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2Subproblem 2
Set the factor '(10 + -7n)' equal to zero and attempt to solve: Simplifying 10 + -7n = 0 Solving 10 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7n = 0 + -10 -7n = 0 + -10 Combine like terms: 0 + -10 = -10 -7n = -10 Divide each side by '-7'. n = 1.428571429 Simplifying n = 1.428571429Solution
n = {-2, 1.428571429}
| 9y^2+6y-14=0 | | (m+3)(5m-2)=0 | | 12(n+2)=12n+26-2 | | 2p^2-32p+126= | | 7x^3-25=175x-x^2 | | 5n/10n | | 225=x^2+2*3.5x+12.25+x^2 | | 47-5x=22 | | 2(x+4)-5=2x+3(x-2) | | v^2-7-18= | | 0.25[205x+1.5(x-4)]=-x | | 54-5x=4X+18 | | 256=x^2+2*3.5x+12.25+x^2 | | y=0.6666x-3 | | 1-2n=3+n | | -3m+9m/2 | | (4a-2b)-(6a-8b)= | | x=(1/4+35)+(3/4+150)+(1/2+75) | | 6x-4/4-3(x-4)/5-1/2x=5x+3/10-6/5x | | 4x+10=2(x+6) | | 40+7x=75 | | 2j^2+2j=j^2-15-6j | | =2[(0.25y+35)+(0.75y+150)+(0.5y+75)] | | =2[(.25y+35)+(.75y+150)+(.5y+75)] | | 5=2m+3+2 | | ((x^2-x-2)/(x^2+5x+6))((x+1)(4x+8)) | | 17u-14u=15 | | 12(4+n)+5(-2n-9)=17 | | 2x-5=110 | | 10a=27ab+5b^2 | | s-20= | | =2[(1.25x+35)+(1.75x+150)+(2x+75)] |