If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x3 + 19x2 + -21x = 0 Reorder the terms: -21x + 19x2 + 3x3 = 0 Solving -21x + 19x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-21 + 19x + 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 '(-21 + 19x + 3x2)' equal to zero and attempt to solve: Simplifying -21 + 19x + 3x2 = 0 Solving -21 + 19x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -7 + 6.333333333x + x2 = 0 Move the constant term to the right: Add '7' to each side of the equation. -7 + 6.333333333x + 7 + x2 = 0 + 7 Reorder the terms: -7 + 7 + 6.333333333x + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6.333333333x + x2 = 0 + 7 6.333333333x + x2 = 0 + 7 Combine like terms: 0 + 7 = 7 6.333333333x + x2 = 7 The x term is 6.333333333x. Take half its coefficient (3.166666667). Square it (10.02777778) and add it to both sides. Add '10.02777778' to each side of the equation. 6.333333333x + 10.02777778 + x2 = 7 + 10.02777778 Reorder the terms: 10.02777778 + 6.333333333x + x2 = 7 + 10.02777778 Combine like terms: 7 + 10.02777778 = 17.02777778 10.02777778 + 6.333333333x + x2 = 17.02777778 Factor a perfect square on the left side: (x + 3.166666667)(x + 3.166666667) = 17.02777778 Calculate the square root of the right side: 4.126472801 Break this problem into two subproblems by setting (x + 3.166666667) equal to 4.126472801 and -4.126472801.Subproblem 1
x + 3.166666667 = 4.126472801 Simplifying x + 3.166666667 = 4.126472801 Reorder the terms: 3.166666667 + x = 4.126472801 Solving 3.166666667 + x = 4.126472801 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.166666667' to each side of the equation. 3.166666667 + -3.166666667 + x = 4.126472801 + -3.166666667 Combine like terms: 3.166666667 + -3.166666667 = 0.000000000 0.000000000 + x = 4.126472801 + -3.166666667 x = 4.126472801 + -3.166666667 Combine like terms: 4.126472801 + -3.166666667 = 0.959806134 x = 0.959806134 Simplifying x = 0.959806134Subproblem 2
x + 3.166666667 = -4.126472801 Simplifying x + 3.166666667 = -4.126472801 Reorder the terms: 3.166666667 + x = -4.126472801 Solving 3.166666667 + x = -4.126472801 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.166666667' to each side of the equation. 3.166666667 + -3.166666667 + x = -4.126472801 + -3.166666667 Combine like terms: 3.166666667 + -3.166666667 = 0.000000000 0.000000000 + x = -4.126472801 + -3.166666667 x = -4.126472801 + -3.166666667 Combine like terms: -4.126472801 + -3.166666667 = -7.293139468 x = -7.293139468 Simplifying x = -7.293139468Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.959806134, -7.293139468}Solution
x = {0, 0.959806134, -7.293139468}
| 5x-3+2x=4 | | x-10=6x-10 | | x-(8-x)=32 | | 3d/4-1/2=7 | | x/5-3x/10=1/5 | | 8(-3d+2)=22 | | 4(3-z)-5(1-2z)=7(3+z) | | 3x+7+x+25=180 | | 4x+39=14x+-61 | | x/13-3x/13=8/13 | | 2(-3r+2)=-5(r-3) | | -9+2t=5t | | 2(4-2(9))=-2((9)+5) | | -4m+9=-5m | | -5(3w-3)+(16w+1)=0 | | -4+u=5u | | -18=3(-z+6)+3 | | -2x+5=12x-25 | | 7-4x=2x+19 | | 5+1-4(3-36)= | | 13x-2(x+4)=8x+7 | | 2y-3/4=6y+7/3 | | 4(3r+3)-3r=-10 | | 8w^2+34w-9=0 | | -2(3a-5)=28 | | 3x-5x=-12 | | -2(3a-5)=27 | | 2x+.75x=44 | | .5-x+1.5=2x-8 | | 2(4r+6)=2/3(12r+18) | | 9+3x=-20+8 | | 31x=131 |