If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + x = 10 Reorder the terms: x + x2 = 10 Solving x + x2 = 10 Solving for variable 'x'. Reorder the terms: -10 + x + x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '10' to each side of the equation. -10 + x + 10 + x2 = 0 + 10 Reorder the terms: -10 + 10 + x + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x + x2 = 0 + 10 x + x2 = 0 + 10 Combine like terms: 0 + 10 = 10 x + x2 = 10 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. x + 0.25 + x2 = 10 + 0.25 Reorder the terms: 0.25 + x + x2 = 10 + 0.25 Combine like terms: 10 + 0.25 = 10.25 0.25 + x + x2 = 10.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 10.25 Calculate the square root of the right side: 3.201562119 Break this problem into two subproblems by setting (x + 0.5) equal to 3.201562119 and -3.201562119.Subproblem 1
x + 0.5 = 3.201562119 Simplifying x + 0.5 = 3.201562119 Reorder the terms: 0.5 + x = 3.201562119 Solving 0.5 + x = 3.201562119 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 = 3.201562119 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 3.201562119 + -0.5 x = 3.201562119 + -0.5 Combine like terms: 3.201562119 + -0.5 = 2.701562119 x = 2.701562119 Simplifying x = 2.701562119Subproblem 2
x + 0.5 = -3.201562119 Simplifying x + 0.5 = -3.201562119 Reorder the terms: 0.5 + x = -3.201562119 Solving 0.5 + x = -3.201562119 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 = -3.201562119 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -3.201562119 + -0.5 x = -3.201562119 + -0.5 Combine like terms: -3.201562119 + -0.5 = -3.701562119 x = -3.701562119 Simplifying x = -3.701562119Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.701562119, -3.701562119}
| x^3-x=39.375 | | x^2-2=17 | | 15x+8=3(5-2x)+2(21-14x) | | 6n-9=2n+3 | | 6X+(6x+3)=48 | | 10x-2=7x+4 | | x^2-16x-60=0 | | (3-d)(3+d)+9+(3+d)(3-d)=77 | | 80x+4=24 | | 0.5x=9 | | 5n+6=5n-4 | | 60=60-0.4x | | x*4+224= | | 60-0.4x=60 | | a+a+d+a+2d=9 | | 3x-2=40x+4 | | a+a+b+a+2d=9 | | 4a+12=7a-9 | | 138-5x=5x+15 | | 4b^2+2=326 | | 3x-2=4(10x+1) | | 3x-2=4(10+1) | | 4(10x+1)=3x-2 | | 2Y+2Y*3=50 | | 6e-8=7 | | 5w+4=17 | | 6x+8=80-2x | | 7h-13=71 | | 214-3x=33x+22 | | 3w+28=4-3w | | 2b-1=9-3b | | 4g+7=2g+25 |