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Simplifying 81x3 + 27x2 + 18x = 0 Reorder the terms: 18x + 27x2 + 81x3 = 0 Solving 18x + 27x2 + 81x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x'. 9x(2 + 3x + 9x2) = 0 Ignore the factor 9.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 '(2 + 3x + 9x2)' equal to zero and attempt to solve: Simplifying 2 + 3x + 9x2 = 0 Solving 2 + 3x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.2222222222 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + 0.3333333333x + -0.2222222222 + x2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + 0.3333333333x + x2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + 0.3333333333x + x2 = 0 + -0.2222222222 0.3333333333x + x2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 0.3333333333x + x2 = -0.2222222222 The x term is 0.3333333333x. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333x + 0.02777777779 + x2 = -0.2222222222 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333x + x2 = -0.2222222222 + 0.02777777779 Combine like terms: -0.2222222222 + 0.02777777779 = -0.19444444441 0.02777777779 + 0.3333333333x + x2 = -0.19444444441 Factor a perfect square on the left side: (x + 0.1666666667)(x + 0.1666666667) = -0.19444444441 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}
| 13x-x=4+8x | | 12.50h+4.50=35.75 | | 7(7x-6)=47 | | 3r+13r+4r=220 | | 5=10+5x | | 2-3x+72=32 | | 7m+3m+5m=180 | | 8v-19=53 | | (2x-3y)+12i=(3x+2y)i+8 | | 2x^2-14x+28=0 | | 2(1.25x)+3=23.50 | | 2(1.25x+3)=11.75 | | 2.50x+3=23.50 | | 2.50x+6=23.50 | | 2(1.25x+3)=23.50 | | 1.25x+3=11.75 | | 4h+7=28 | | 6x*2=216 | | .5(-4+6x)=.33x+.667(x+9) | | 10f-3=t+15 | | 4/3*22-1/3 | | 4=4-3t-5t | | -3.25+1.5x=2.5x+1.7 | | 2.5x+1.7=-3.25+1.5x | | 3z+2(6-z)=-(z-2)+8 | | x=60+.3x | | .5(-4+6x)=.33x+.667(x+0) | | -4e^2x+33=17 | | (x^2+9)(x+9)(x-5)=0 | | x+.3x=60 | | k-(-33)=30 | | r+6=8 |