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Simplifying 3x2 + 12x + 9 = 0 Reorder the terms: 9 + 12x + 3x2 = 0 Solving 9 + 12x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(3 + 4x + x2) = 0 Factor a trinomial. 3((3 + x)(1 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-3, -1}
| 14+2x=21 | | p+p+q+q+q+3= | | 10x+6=30 | | t+t= | | k-d*4= | | .60t-.10t=t-2.5 | | 10-a*b*2= | | 4x^2-20xy+3x+15y= | | c*a+d*b= | | 2(4+2x)=3(x-3) | | 5-x=3x+29 | | 4*(d-2)= | | 6x+35=x | | 4y-7x+3=0 | | 8*(m+n)= | | x^2+3xy-4y^2= | | 44x^2+55x+6=0 | | d-a*c= | | 3*a+2*b= | | 6*2b= | | 7*3a= | | -6x+2x-11=-2(2x-3)+2 | | x^2y^2-20xy+100= | | 7y-3=10-(5-3y) | | 3m+n=3 | | v^2-7v+35= | | -2p+7=3-5(p+1) | | 64y^2-80y+25=0 | | 37.68=3.14d | | 37.68=2(3.14)r | | 0.22y-3.5=0.12y+1-0.8 | | 7+3m=29 |