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Simplifying 12x2 + 92x + 56 = 0 Reorder the terms: 56 + 92x + 12x2 = 0 Solving 56 + 92x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(14 + 23x + 3x2) = 0 Factor a trinomial. 4((7 + x)(2 + 3x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-7, -0.6666666667}
| 4t+7-1=15 | | 3z=9.15 | | -73=10x-3 | | 2n=3.4 | | 2*10-3=6*10+17 | | 3x^2-4x-7=16 | | 3-4(A+1)=9+9 | | 6x^2+9x-35=0 | | Qd=150-50p | | 6x^2+9x+35=0 | | Qp=150-5p | | 24-9y=10+5y | | 17-3x=8-3x | | 8-3x=17-3x | | -1=12x-13 | | 8(x-10)=6x-68 | | -18x+6=-10x-10 | | 2x+3(6x-2)=94 | | n-45.60=-15.75 | | 6+n=100 | | n+45.60=-15.75 | | 7(2-z)+(z-3)=2z | | =7q | | h(t)=-16t^2+80+5 | | 3y-7+y+53=7y+50-5y | | n-15.75=45.60 | | 8-7x=8-3x | | =-(-z+3) | | 3(3+4x)-4=65 | | 5x-2+x-1=180 | | n+15.75=-45.60 | | 5x-11=17-3x |