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Simplifying 5n2 + 40n + 60 = 0 Reorder the terms: 60 + 40n + 5n2 = 0 Solving 60 + 40n + 5n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5'. 5(12 + 8n + n2) = 0 Factor a trinomial. 5((6 + n)(2 + n)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + n)' equal to zero and attempt to solve: Simplifying 6 + n = 0 Solving 6 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + n = 0 + -6 n = 0 + -6 Combine like terms: 0 + -6 = -6 n = -6 Simplifying n = -6Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 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 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Solution
n = {-6, -2}
| 8x+6=-4+3x+20 | | 5x^2-20x+10= | | n^2-8n+12= | | 200=(x+y)4 | | cos(0.5)= | | sin(1)= | | 5x-5y=200 | | x+0.05x=6720 | | cos(1)= | | 4(5x-7)-2(4x+1)=6 | | -4x^2+8x-12= | | p^2+2p-3= | | cos(0)+sin(0)= | | m^2+32=12m | | 1/3y=5x-2 | | 1=6x^2+5 | | ln(x+1)-ln(x)= | | a^2-3a-48=0 | | sin(0)+cos(1)= | | 5(z-5)+4z-3= | | 10s^2-4s=2s | | 5x^2+16x=-3 | | -3(2x-4)+8x-5= | | (20x)/(((x^2)-4)^2) | | p^2+p-3= | | 2x×6=11x-3/4 | | (3-k)x+y+2=0 | | -a^2-11a-18= | | 2lnx-3ln(1/x)=10 | | 56/g= | | 0.4(5-04n)=3.2 | | y=-6/5x-3/8 |