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 + 21 Reorder the terms: x2 = 21 + x Solving x2 = 21 + x Solving for variable 'x'. Reorder the terms: -21 + -1x + x2 = 21 + x + -21 + -1x Reorder the terms: -21 + -1x + x2 = 21 + -21 + x + -1x Combine like terms: 21 + -21 = 0 -21 + -1x + x2 = 0 + x + -1x -21 + -1x + x2 = x + -1x Combine like terms: x + -1x = 0 -21 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '21' to each side of the equation. -21 + -1x + 21 + x2 = 0 + 21 Reorder the terms: -21 + 21 + -1x + x2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x + x2 = 0 + 21 -1x + x2 = 0 + 21 Combine like terms: 0 + 21 = 21 -1x + x2 = 21 The x term is -1x. 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. -1x + 0.25 + x2 = 21 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 21 + 0.25 Combine like terms: 21 + 0.25 = 21.25 0.25 + -1x + x2 = 21.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 21.25 Calculate the square root of the right side: 4.609772229 Break this problem into two subproblems by setting (x + -0.5) equal to 4.609772229 and -4.609772229.Subproblem 1
x + -0.5 = 4.609772229 Simplifying x + -0.5 = 4.609772229 Reorder the terms: -0.5 + x = 4.609772229 Solving -0.5 + x = 4.609772229 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 = 4.609772229 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 4.609772229 + 0.5 x = 4.609772229 + 0.5 Combine like terms: 4.609772229 + 0.5 = 5.109772229 x = 5.109772229 Simplifying x = 5.109772229Subproblem 2
x + -0.5 = -4.609772229 Simplifying x + -0.5 = -4.609772229 Reorder the terms: -0.5 + x = -4.609772229 Solving -0.5 + x = -4.609772229 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 = -4.609772229 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -4.609772229 + 0.5 x = -4.609772229 + 0.5 Combine like terms: -4.609772229 + 0.5 = -4.109772229 x = -4.109772229 Simplifying x = -4.109772229Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.109772229, -4.109772229}
| y=-5x+35 | | 5+25x=15x+23 | | 1x+3=4x+6 | | 2a=61 | | 8+3b=26 | | 5p+8=6 | | 4+2(a-5)=7 | | 2+4k=6 | | 5x=-305 | | 4(5x-12)-7x=5x | | 5x/3=2x-7 | | 4x-3y=2x+15 | | 2v-6=-16 | | x^3+3x^2-109x+273=0 | | 5log(x/4)=20 | | 2/3x-4/3=7 | | 9x-29=65 | | 4(2x+1)=9x+25-4x | | x^2+y^2+6y-x=-5 | | sin(-1)=sin(1) | | sin(-1)=-sin(1) | | 16-1/20d | | 6-4n=78 | | y^2=5x+6 | | 5f+8.12=10.19 | | n+3n-2=28 | | 3/8m=m32 | | 72.9/2.7 | | 180=10x+6 | | (x/3-2x)2=8 | | -2x-4=11/2 | | 180=2x^2+128 |