If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9.75x2 + -289x + 1156 = 0 Reorder the terms: 1156 + -289x + 9.75x2 = 0 Solving 1156 + -289x + 9.75x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9.75 the coefficient of the squared term: Divide each side by '9.75'. 118.5641026 + -29.64102564x + x2 = 0 Move the constant term to the right: Add '-118.5641026' to each side of the equation. 118.5641026 + -29.64102564x + -118.5641026 + x2 = 0 + -118.5641026 Reorder the terms: 118.5641026 + -118.5641026 + -29.64102564x + x2 = 0 + -118.5641026 Combine like terms: 118.5641026 + -118.5641026 = 0.0000000 0.0000000 + -29.64102564x + x2 = 0 + -118.5641026 -29.64102564x + x2 = 0 + -118.5641026 Combine like terms: 0 + -118.5641026 = -118.5641026 -29.64102564x + x2 = -118.5641026 The x term is -29.64102564x. Take half its coefficient (-14.82051282). Square it (219.6476002) and add it to both sides. Add '219.6476002' to each side of the equation. -29.64102564x + 219.6476002 + x2 = -118.5641026 + 219.6476002 Reorder the terms: 219.6476002 + -29.64102564x + x2 = -118.5641026 + 219.6476002 Combine like terms: -118.5641026 + 219.6476002 = 101.0834976 219.6476002 + -29.64102564x + x2 = 101.0834976 Factor a perfect square on the left side: (x + -14.82051282)(x + -14.82051282) = 101.0834976 Calculate the square root of the right side: 10.054028924 Break this problem into two subproblems by setting (x + -14.82051282) equal to 10.054028924 and -10.054028924.Subproblem 1
x + -14.82051282 = 10.054028924 Simplifying x + -14.82051282 = 10.054028924 Reorder the terms: -14.82051282 + x = 10.054028924 Solving -14.82051282 + x = 10.054028924 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14.82051282' to each side of the equation. -14.82051282 + 14.82051282 + x = 10.054028924 + 14.82051282 Combine like terms: -14.82051282 + 14.82051282 = 0.00000000 0.00000000 + x = 10.054028924 + 14.82051282 x = 10.054028924 + 14.82051282 Combine like terms: 10.054028924 + 14.82051282 = 24.874541744 x = 24.874541744 Simplifying x = 24.874541744Subproblem 2
x + -14.82051282 = -10.054028924 Simplifying x + -14.82051282 = -10.054028924 Reorder the terms: -14.82051282 + x = -10.054028924 Solving -14.82051282 + x = -10.054028924 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14.82051282' to each side of the equation. -14.82051282 + 14.82051282 + x = -10.054028924 + 14.82051282 Combine like terms: -14.82051282 + 14.82051282 = 0.00000000 0.00000000 + x = -10.054028924 + 14.82051282 x = -10.054028924 + 14.82051282 Combine like terms: -10.054028924 + 14.82051282 = 4.766483896 x = 4.766483896 Simplifying x = 4.766483896Solution
The solution to the problem is based on the solutions from the subproblems. x = {24.874541744, 4.766483896}
| 90t-3t^2=0 | | 40(3)=6a(5) | | 162=2x-3(-5x-3) | | 30=15/z | | x^2-1.6=-0.12x | | 3(-5n-3)=23+n | | 9.5(6.5h-7)=-29.5-3.5h | | -r/5-(-1/2-4x/5)=-9/2-37x/5 | | -8(2+4v)=-176 | | -(2+4v)=-176 | | 5x/4=22/15 | | (x^2/7)-x=-(11/7) | | f(2)=-2+12 | | -6-x=-16 | | 6k+6k+3=4k+5k | | -29.5=-7.5+(r-9.5) | | 12-c=-11 | | 15y+37=112 | | x+4.7=7.5-3.4 | | 5x+0.5=35.5 | | 170=-9d+8 | | 5x^2+2x^2-3x=0 | | 1-4p=-2-6p+5p | | 22=3r-5 | | 6a+10=28 | | 7-2(7a+2)=-81 | | 9.5(6.5-7)=-29.5-3.5h | | -x-8=-5 | | 20=2-2x+4 | | 18w^3/w | | xdy-(y+x)dx=0 | | (2x^2)/(1x^2) |