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Simplifying 6x3 + 4x2 + 2x = 0 Reorder the terms: 2x + 4x2 + 6x3 = 0 Solving 2x + 4x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + 2x + 3x2) = 0 Ignore the factor 2.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 '(1 + 2x + 3x2)' equal to zero and attempt to solve: Simplifying 1 + 2x + 3x2 = 0 Solving 1 + 2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.6666666667x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.6666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.6666666667x + x2 = 0 + -0.3333333333 0.6666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.6666666667x + x2 = -0.3333333333 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = -0.3333333333 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = -0.3333333333 + 0.1111111112 Combine like terms: -0.3333333333 + 0.1111111112 = -0.2222222221 0.1111111112 + 0.6666666667x + x2 = -0.2222222221 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = -0.2222222221 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
| 25=-8+99x+30 | | 3+6h=-9 | | H-7h= | | x=ln(4) | | m=205.3/270.4 | | 3x^4+2x^3-5x^2+4x^2+6x-2x-3x^4+7x^5-3x^3=0 | | d=1/3(3.14)p(p)r | | x=e^4 | | x=exp^4 | | (6x-2)^1/2=(9w-14)^1/2 | | 3=16t^2-19t | | 16t^2+19t-3=0 | | log(5-4x)-log(x+30)=0 | | 60=m^9-mu | | 7t^2+32t-15=0 | | 2a^3-2a^2=6a-8 | | 150=5(x+11) | | 4/2x-4 | | 3n/5-8=4 | | 18-x/4=x/8 | | 79.2=9(x+2.1) | | 7x-52=82 | | 4/5x-12=56 | | 14.4=k+0.2k | | 16t^2+205=0 | | f=12+2.4 | | 3(I-1.5)=13.5 | | 3(2x+2)=2(x-5) | | 1.03x=5.15 | | 24y-92x=1200 | | 24y-92x=12 | | 79+24x^2=92 |