If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9x2 = 3 + -3x Solving 9x2 = 3 + -3x Solving for variable 'x'. Reorder the terms: -3 + 3x + 9x2 = 3 + -3x + -3 + 3x Reorder the terms: -3 + 3x + 9x2 = 3 + -3 + -3x + 3x Combine like terms: 3 + -3 = 0 -3 + 3x + 9x2 = 0 + -3x + 3x -3 + 3x + 9x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 3x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + x + 3x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + x + 3x2)' equal to zero and attempt to solve: Simplifying -1 + x + 3x2 = 0 Solving -1 + x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -0.3333333333 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '0.3333333333' to each side of the equation. -0.3333333333 + 0.3333333333x + 0.3333333333 + x2 = 0 + 0.3333333333 Reorder the terms: -0.3333333333 + 0.3333333333 + 0.3333333333x + x2 = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + 0.3333333333x + x2 = 0 + 0.3333333333 0.3333333333x + x2 = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 0.3333333333x + 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. 0.3333333333x + 0.25 + x2 = 0.3333333333 + 0.25 Reorder the terms: 0.25 + 0.3333333333x + x2 = 0.3333333333 + 0.25 Combine like terms: 0.3333333333 + 0.25 = 0.5833333333 0.25 + 0.3333333333x + x2 = 0.5833333333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 0.5833333333 Calculate the square root of the right side: 0.763762616 Break this problem into two subproblems by setting (x + 0.5) equal to 0.763762616 and -0.763762616.Subproblem 1
x + 0.5 = 0.763762616 Simplifying x + 0.5 = 0.763762616 Reorder the terms: 0.5 + x = 0.763762616 Solving 0.5 + x = 0.763762616 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.763762616 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.763762616 + -0.5 x = 0.763762616 + -0.5 Combine like terms: 0.763762616 + -0.5 = 0.263762616 x = 0.263762616 Simplifying x = 0.263762616Subproblem 2
x + 0.5 = -0.763762616 Simplifying x + 0.5 = -0.763762616 Reorder the terms: 0.5 + x = -0.763762616 Solving 0.5 + x = -0.763762616 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -0.763762616 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -0.763762616 + -0.5 x = -0.763762616 + -0.5 Combine like terms: -0.763762616 + -0.5 = -1.263762616 x = -1.263762616 Simplifying x = -1.263762616Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.263762616, -1.263762616}Solution
x = {0.263762616, -1.263762616}
| -40=8(6x+7) | | x+1/x-17/4=0 | | 10n^2-29n-21=0 | | 2y^2-y+1=0 | | 2/3r+9=75 | | 3(n+4)-11=-5n+9(n+1) | | 4-(x-1)2=0 | | -10(-7x+9)-6(9x+6)=2x+4-4 | | -5y+3=22 | | 11-4x=1-6x | | 5(-4v+11)-5(v+9)=-12v-8v | | -2=7x-5-8x | | x^2-9/2x+2=0 | | 48b+45=6(8+8b) | | b+3=-4b-12 | | n/9.6-6=-6.77 | | -1=6x-7x | | 2x^4+8x^2-10=0 | | 2p=sp+t | | -8=2x+2x | | 1-5r-3r=7(8r-1)-(-3r+6) | | -6-8(p-2)=10-8p | | -7x+6-x=-18 | | p/-6+7=16 | | 7x-6x=-4 | | 2(-5/2)-6 | | -17=-4+5x+7 | | 8=x+8+6 | | 15=7x+4-3 | | 2t^2+6t=0 | | p+2+8p=2 | | 6x-2+5=-3 |