If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 21x2 + 22x + -12 = 0 Reorder the terms: -12 + 22x + 21x2 = 0 Solving -12 + 22x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. -0.5714285714 + 1.047619048x + x2 = 0 Move the constant term to the right: Add '0.5714285714' to each side of the equation. -0.5714285714 + 1.047619048x + 0.5714285714 + x2 = 0 + 0.5714285714 Reorder the terms: -0.5714285714 + 0.5714285714 + 1.047619048x + x2 = 0 + 0.5714285714 Combine like terms: -0.5714285714 + 0.5714285714 = 0.0000000000 0.0000000000 + 1.047619048x + x2 = 0 + 0.5714285714 1.047619048x + x2 = 0 + 0.5714285714 Combine like terms: 0 + 0.5714285714 = 0.5714285714 1.047619048x + x2 = 0.5714285714 The x term is 1.047619048x. Take half its coefficient (0.523809524). Square it (0.2743764174) and add it to both sides. Add '0.2743764174' to each side of the equation. 1.047619048x + 0.2743764174 + x2 = 0.5714285714 + 0.2743764174 Reorder the terms: 0.2743764174 + 1.047619048x + x2 = 0.5714285714 + 0.2743764174 Combine like terms: 0.5714285714 + 0.2743764174 = 0.8458049888 0.2743764174 + 1.047619048x + x2 = 0.8458049888 Factor a perfect square on the left side: (x + 0.523809524)(x + 0.523809524) = 0.8458049888 Calculate the square root of the right side: 0.919676567 Break this problem into two subproblems by setting (x + 0.523809524) equal to 0.919676567 and -0.919676567.Subproblem 1
x + 0.523809524 = 0.919676567 Simplifying x + 0.523809524 = 0.919676567 Reorder the terms: 0.523809524 + x = 0.919676567 Solving 0.523809524 + x = 0.919676567 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.523809524' to each side of the equation. 0.523809524 + -0.523809524 + x = 0.919676567 + -0.523809524 Combine like terms: 0.523809524 + -0.523809524 = 0.000000000 0.000000000 + x = 0.919676567 + -0.523809524 x = 0.919676567 + -0.523809524 Combine like terms: 0.919676567 + -0.523809524 = 0.395867043 x = 0.395867043 Simplifying x = 0.395867043Subproblem 2
x + 0.523809524 = -0.919676567 Simplifying x + 0.523809524 = -0.919676567 Reorder the terms: 0.523809524 + x = -0.919676567 Solving 0.523809524 + x = -0.919676567 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.523809524' to each side of the equation. 0.523809524 + -0.523809524 + x = -0.919676567 + -0.523809524 Combine like terms: 0.523809524 + -0.523809524 = 0.000000000 0.000000000 + x = -0.919676567 + -0.523809524 x = -0.919676567 + -0.523809524 Combine like terms: -0.919676567 + -0.523809524 = -1.443486091 x = -1.443486091 Simplifying x = -1.443486091Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.395867043, -1.443486091}
| 5x-2=30x+18 | | 18x+6=18x-4 | | y+34=68 | | y+34=68 | | xi-x+i+2-4i= | | 2m^2+3=7m | | 3x+12=14-5x | | 16x-12=16x-12 | | 23y=245 | | 6x-7=30x+1 | | p^2(7p-13)=2p | | 12x+15=86 | | -3x+5-8xi+1= | | -.5x^2+5x-x=0 | | 3x+106=8 | | 9b+15=9 | | 9b-15=9 | | 5y^2+19y+12= | | 2(2x+2)=2(x+5) | | y-5=2(x+2) | | 0.6x+0.4=0.8x-1.4 | | 3x-5x+8=4x+8 | | 3x+106= | | 4xi+7x= | | 18=3s-4(27-s) | | 18+t=-101 | | 6-5(n+7)=-33-4n | | 4+2y^2=34 | | 5c+24=32 | | -2(x+6)+2=-10 | | y^2-2y=-12 | | 8y-6=20 |