If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + -22x + 109 = 0 Reorder the terms: 109 + -22x + x2 = 0 Solving 109 + -22x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-109' to each side of the equation. 109 + -22x + -109 + x2 = 0 + -109 Reorder the terms: 109 + -109 + -22x + x2 = 0 + -109 Combine like terms: 109 + -109 = 0 0 + -22x + x2 = 0 + -109 -22x + x2 = 0 + -109 Combine like terms: 0 + -109 = -109 -22x + x2 = -109 The x term is -22x. Take half its coefficient (-11). Square it (121) and add it to both sides. Add '121' to each side of the equation. -22x + 121 + x2 = -109 + 121 Reorder the terms: 121 + -22x + x2 = -109 + 121 Combine like terms: -109 + 121 = 12 121 + -22x + x2 = 12 Factor a perfect square on the left side: (x + -11)(x + -11) = 12 Calculate the square root of the right side: 3.464101615 Break this problem into two subproblems by setting (x + -11) equal to 3.464101615 and -3.464101615.Subproblem 1
x + -11 = 3.464101615 Simplifying x + -11 = 3.464101615 Reorder the terms: -11 + x = 3.464101615 Solving -11 + x = 3.464101615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 3.464101615 + 11 Combine like terms: -11 + 11 = 0 0 + x = 3.464101615 + 11 x = 3.464101615 + 11 Combine like terms: 3.464101615 + 11 = 14.464101615 x = 14.464101615 Simplifying x = 14.464101615Subproblem 2
x + -11 = -3.464101615 Simplifying x + -11 = -3.464101615 Reorder the terms: -11 + x = -3.464101615 Solving -11 + x = -3.464101615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = -3.464101615 + 11 Combine like terms: -11 + 11 = 0 0 + x = -3.464101615 + 11 x = -3.464101615 + 11 Combine like terms: -3.464101615 + 11 = 7.535898385 x = 7.535898385 Simplifying x = 7.535898385Solution
The solution to the problem is based on the solutions from the subproblems. x = {14.464101615, 7.535898385}
| 20x^4-48x^3+16x^2=0 | | x+x+2x+6+2x+6=108 | | y=2x^2+12x+9 | | 36z^3+33z^2-45z=0 | | 19z-12z-15z= | | -17=-2+3u | | x^2+30x-10854=0 | | x+2x+6=96 | | 3w^2+24w-3=0 | | 0=4x^3+4x^2+8x+8 | | 4x^2+6x-18=0 | | x+x+2x-6=14 | | -8u+6(u-4)=-16 | | x+x+x-6=14 | | 25x^2-70x-15=0 | | 0=4x^3+4x^2-8x-8 | | 5w-5=-25 | | x^4-8x^3+19x^2-24x+48=0 | | 20x^2-41xy+20y^2=0 | | -3=3v+6 | | x+2x+x+26=174 | | x+40/0,2=10 | | 2a^2+7ab+5b^2=0 | | (x)*4-(8x)*3+(19x)*2-(24x)+(48)=0 | | 3(7x-6)-(x+2)=4x+2 | | x^2-1+8=0 | | 3a^2-4ab-20b^2=0 | | 4(y+3)-8y=36 | | 8x^2+22xy+5y^2=0 | | -2+5u=-27 | | (x+6)(3x-7)=0 | | -9u-29=2(u-9) |