If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x3 + 9x2 + 2x = 0 Reorder the terms: 2x + 9x2 + 3x3 = 0 Solving 2x + 9x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + 9x + 3x2) = 0Subproblem 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 + 9x + 3x2)' equal to zero and attempt to solve: Simplifying 2 + 9x + 3x2 = 0 Solving 2 + 9x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.6666666667 + 3x + x2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + 3x + -0.6666666667 + x2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + 3x + x2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + 3x + x2 = 0 + -0.6666666667 3x + x2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 3x + x2 = -0.6666666667 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -0.6666666667 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -0.6666666667 + 2.25 Combine like terms: -0.6666666667 + 2.25 = 1.5833333333 2.25 + 3x + x2 = 1.5833333333 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 1.5833333333 Calculate the square root of the right side: 1.258305739 Break this problem into two subproblems by setting (x + 1.5) equal to 1.258305739 and -1.258305739.Subproblem 1
x + 1.5 = 1.258305739 Simplifying x + 1.5 = 1.258305739 Reorder the terms: 1.5 + x = 1.258305739 Solving 1.5 + x = 1.258305739 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 1.258305739 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 1.258305739 + -1.5 x = 1.258305739 + -1.5 Combine like terms: 1.258305739 + -1.5 = -0.241694261 x = -0.241694261 Simplifying x = -0.241694261Subproblem 2
x + 1.5 = -1.258305739 Simplifying x + 1.5 = -1.258305739 Reorder the terms: 1.5 + x = -1.258305739 Solving 1.5 + x = -1.258305739 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -1.258305739 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -1.258305739 + -1.5 x = -1.258305739 + -1.5 Combine like terms: -1.258305739 + -1.5 = -2.758305739 x = -2.758305739 Simplifying x = -2.758305739Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.241694261, -2.758305739}Solution
x = {0, -0.241694261, -2.758305739}
| 3x^3+9x^2+x=0 | | 3a^2+11a-4=0 | | (5x^2z^2)(8xz^3)= | | 3x^2+17x-56=0 | | 18x+110000+60x-0.0003x^3=0 | | x^2-9x-70=0 | | q^2+4q+3=0 | | (4x+2)(6x^2)=0 | | 7x-1=4x+8 | | 2g^2+7g=9 | | 2(4x-3)-8=6(1+3k) | | -2=-17x | | 3y^2+48y=0 | | 2h^2-3h+1=0 | | 4c-2=3x | | 9w^2-75w-54=0 | | 6x+4x+2=12 | | 8x+y=27 | | X^5+8x^3+12x=0 | | 16x^2-56x=0 | | x^2-3x=7x | | -2=8+2w | | 9r^2-100=0 | | 5(x+1)=8 | | 6b^2-1r-7=5 | | 10p-90=90 | | 10*35=12(12x) | | 3a-5a= | | (3y-1)(y^2-2y+4)= | | 4a^2-36= | | 10x-73=-1x+59 | | y^2-13y+40=0 |