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Simplifying 6x3 + 33x2 + 42x = 0 Reorder the terms: 42x + 33x2 + 6x3 = 0 Solving 42x + 33x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(14 + 11x + 2x2) = 0 Factor a trinomial. 3x((7 + 2x)(2 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -3.5, -2}
| 12x^4-10x^2=9 | | (6a+7)-(6a-7)= | | 9m^2+30mn+25n^2+12mn^2+20mn-12= | | (3y+1)(y+5)=-11 | | 3/2r=7/4 | | .25x+x-10+x=134 | | 28=5+3 | | 2x+7(x+3)(x-3)(2x-5)=91 | | 158x+90y=250 | | 16x-8=10x-12 | | 6x-13x-5= | | 3p-4=4(p-2) | | -2(4x-2)-2=4x-4 | | 17m-12n-1+4-13m-12n= | | (2a-3)(5a+4)= | | 4+5(7-1)=p | | 4-(2+3)= | | 4x-24=9(x-6) | | 4a-(2+3)= | | 62=4x+10 | | 7y(-4xy+5y)= | | X+(0.20X)=300 | | 9x+5x=10-5+7x | | 5-7k=4k+1-3 | | 1.13x(x)=50 | | -13(x-12)=-9(1+7)x | | y=3InX-X | | -6.3(3p+6)-2.4(2p-4)= | | 0.2x+18=3-0.6x | | 1/2m-10= | | 18000000000000000000/60 | | sx-y=-11 |