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Simplifying 18x2 + 2x = -6 Reorder the terms: 2x + 18x2 = -6 Solving 2x + 18x2 = -6 Solving for variable 'x'. Reorder the terms: 6 + 2x + 18x2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 2x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + x + 9x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + x + 9x2)' equal to zero and attempt to solve: Simplifying 3 + x + 9x2 = 0 Solving 3 + x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.3333333333 + 0.1111111111x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.1111111111x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.1111111111x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.1111111111x + x2 = 0 + -0.3333333333 0.1111111111x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.1111111111x + x2 = -0.3333333333 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.1111111111x + 0.25 + x2 = -0.3333333333 + 0.25 Reorder the terms: 0.25 + 0.1111111111x + x2 = -0.3333333333 + 0.25 Combine like terms: -0.3333333333 + 0.25 = -0.0833333333 0.25 + 0.1111111111x + x2 = -0.0833333333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.0833333333 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. The solution to this equation could not be determined.
| 8+2lnx=15 | | 17=q-20 | | (4x-3)=(2x+9) | | -6(10+3x)=-204 | | -2x-8=-20-6x | | 4x+10+8x+4=180 | | 4y^3=9y^5 | | 110-(5x+3)=5(x+6)+x | | (1-z)(i-1)=z(i+1) | | 5x-48+3x+20=180 | | 4x+35=1890 | | -y(2x^3-7x^2y+xy^2+5y^3)= | | -8x+12y=3x+5y | | -30-2x=-4 | | -3=-7x+5x+1 | | 3(7x-8)-(3x-6)=36 | | 3(2n-3)=(2n+4)+8 | | 7+7x+3=117 | | 2(5y-9)=4y | | 8-3(8x-5)=-8 | | 0.33y=1.66 | | 1+3x=-8 | | 2(5y-9)=4 | | -2y+6x+3x=0 | | -0.33y=1.66 | | z-5= | | 8.55+-4.4= | | -2.1b-6.6=9.8-7.9b | | x=1.66+(-0.33y) | | x^2+y^2+4y-8=0 | | x=1.66+(-0.33) | | 4x^2-4=192 |