If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 20y + -41 = 0 Reorder the terms: -41 + 20y + y2 = 0 Solving -41 + 20y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '41' to each side of the equation. -41 + 20y + 41 + y2 = 0 + 41 Reorder the terms: -41 + 41 + 20y + y2 = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 20y + y2 = 0 + 41 20y + y2 = 0 + 41 Combine like terms: 0 + 41 = 41 20y + y2 = 41 The y term is 20y. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20y + 100 + y2 = 41 + 100 Reorder the terms: 100 + 20y + y2 = 41 + 100 Combine like terms: 41 + 100 = 141 100 + 20y + y2 = 141 Factor a perfect square on the left side: (y + 10)(y + 10) = 141 Calculate the square root of the right side: 11.874342087 Break this problem into two subproblems by setting (y + 10) equal to 11.874342087 and -11.874342087.Subproblem 1
y + 10 = 11.874342087 Simplifying y + 10 = 11.874342087 Reorder the terms: 10 + y = 11.874342087 Solving 10 + y = 11.874342087 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + y = 11.874342087 + -10 Combine like terms: 10 + -10 = 0 0 + y = 11.874342087 + -10 y = 11.874342087 + -10 Combine like terms: 11.874342087 + -10 = 1.874342087 y = 1.874342087 Simplifying y = 1.874342087Subproblem 2
y + 10 = -11.874342087 Simplifying y + 10 = -11.874342087 Reorder the terms: 10 + y = -11.874342087 Solving 10 + y = -11.874342087 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + y = -11.874342087 + -10 Combine like terms: 10 + -10 = 0 0 + y = -11.874342087 + -10 y = -11.874342087 + -10 Combine like terms: -11.874342087 + -10 = -21.874342087 y = -21.874342087 Simplifying y = -21.874342087Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.874342087, -21.874342087}
| 2+10=8 | | 12y^2+24y=5 | | p=9+6ln(4x+1) | | x+5*5=3x*2 | | p^2-26p=41 | | 8-2=-3 | | .10n+12=.12n+10 | | 4x+5x+5+22= | | ln(x)=4.3+ln(6.1) | | 3n^2+16n+21= | | 1+4x=0 | | z^2-20z=0 | | x+6x(7x+1)=0 | | y=-7x+57 | | F(x)=74+3.7x | | 12x-24+8x+28=180 | | 61=5a-4 | | 2(x+4)(x+7)=(2x+1)(x-9) | | 2x^3-22x^2+60x=0 | | x(7x+5)-x=0 | | -4-11=7x+15-6x | | .03x+18000=90 | | 4(a-4)=2(a+5) | | -15=r-8 | | 7+2(x-3)-4x= | | y+1(9+24)-28=96 | | 5x+20=5x-18 | | 10+a=26 | | x(7x+5)-x(x)(x)=0 | | 5x^2+10x+8y^2-48y+37=0 | | 2(113-2c)+4c=226 | | 20+10x-(8x-12)=68 |