If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x3 + 9x2 + -84x = 0 Reorder the terms: -84x + 9x2 + 2x3 = 0 Solving -84x + 9x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-84 + 9x + 2x2) = 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 '(-84 + 9x + 2x2)' equal to zero and attempt to solve: Simplifying -84 + 9x + 2x2 = 0 Solving -84 + 9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -42 + 4.5x + x2 = 0 Move the constant term to the right: Add '42' to each side of the equation. -42 + 4.5x + 42 + x2 = 0 + 42 Reorder the terms: -42 + 42 + 4.5x + x2 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 4.5x + x2 = 0 + 42 4.5x + x2 = 0 + 42 Combine like terms: 0 + 42 = 42 4.5x + x2 = 42 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = 42 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = 42 + 5.0625 Combine like terms: 42 + 5.0625 = 47.0625 5.0625 + 4.5x + x2 = 47.0625 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = 47.0625 Calculate the square root of the right side: 6.860211367 Break this problem into two subproblems by setting (x + 2.25) equal to 6.860211367 and -6.860211367.Subproblem 1
x + 2.25 = 6.860211367 Simplifying x + 2.25 = 6.860211367 Reorder the terms: 2.25 + x = 6.860211367 Solving 2.25 + x = 6.860211367 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = 6.860211367 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = 6.860211367 + -2.25 x = 6.860211367 + -2.25 Combine like terms: 6.860211367 + -2.25 = 4.610211367 x = 4.610211367 Simplifying x = 4.610211367Subproblem 2
x + 2.25 = -6.860211367 Simplifying x + 2.25 = -6.860211367 Reorder the terms: 2.25 + x = -6.860211367 Solving 2.25 + x = -6.860211367 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = -6.860211367 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = -6.860211367 + -2.25 x = -6.860211367 + -2.25 Combine like terms: -6.860211367 + -2.25 = -9.110211367 x = -9.110211367 Simplifying x = -9.110211367Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.610211367, -9.110211367}Solution
x = {0, 4.610211367, -9.110211367}
| F-7-2f-2-2f=0 | | 4y-2=8 | | (5+x)+(3x)+(x)=41 | | (7x^2/3)(6x^1/4 | | 12=3/2a | | 6-2(3x+2)=-22 | | 10z=50 | | 6x^2=21x-15 | | x^2+4y^2+4xy^2=0 | | x(x+3)(x+9)=400 | | -1x^2-4x-3=0 | | 64xsquared=25 | | 39(x-156)=78 | | 5x+9=23+x | | 5x-2(2x+4)=4x+(x+2) | | 4x+2x+3=21 | | 8x^2-50x-3y-15=0 | | -2sin^2x+sinx+1=0 | | 131/2(6X-4) | | 3x=.5x+5 | | 2m+5=10+3 | | 2/3(x-2)=4 | | 2x=.5x-3 | | 2g^2+11g+9=0 | | 4(2x+3)+8=4 | | 2x-2+45+x=180 | | 1.5(8x+14)-6=-2 | | z=7-11i | | 31s^2+28s=0 | | 5=2x-5+3x | | 21a/11a | | 4v+3v=35 |