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Simplifying 3x2 + 36x + 96 = 0 Reorder the terms: 96 + 36x + 3x2 = 0 Solving 96 + 36x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(32 + 12x + x2) = 0 Factor a trinomial. 3((8 + x)(4 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-8, -4}
| x.x.x.x=69 | | 5x-6(2x)=14 | | -5m+2+8m=2m | | -84-17x=-169 | | -2.3q+16=-5q+-38 | | 3(w+1)=5w-1 | | 47x+149=133 | | 3w+6=-w+30 | | -1/2X=-10 | | 4*(2-3x)-2*(9x-8)=15*(1-x)+3*(4-x) | | 6f+1=2f+13 | | 4x-35=x+12 | | 4=-3+6 | | 7x+12=-4 | | 3x^2=4-11x | | (-23-32)0.56=c | | 9n-2=7n+40 | | (e^6x)+(4e^3x)-12=0 | | 6x+18=-2x+-62 | | -16x^2+75x+4=0 | | 7(3n+1)=-161 | | (120-32)0.56=c | | 6x+18=-2x+31 | | -2x+9=-3 | | (97-32)0.56=c | | 3n-5=12 | | 5*(0,14-0,23x)+3*(0,3x+0,1)=0 | | 3ln(7x)=27 | | 0.04(6000-x)=300 | | x^2+4x+2ix+2i+3=0 | | -1/2(8x+2)+1/5(35+10)= | | 3*ln(7x)=27 |