If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 4y = 86 Reorder the terms: 4y + y2 = 86 Solving 4y + y2 = 86 Solving for variable 'y'. Reorder the terms: -86 + 4y + y2 = 86 + -86 Combine like terms: 86 + -86 = 0 -86 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '86' to each side of the equation. -86 + 4y + 86 + y2 = 0 + 86 Reorder the terms: -86 + 86 + 4y + y2 = 0 + 86 Combine like terms: -86 + 86 = 0 0 + 4y + y2 = 0 + 86 4y + y2 = 0 + 86 Combine like terms: 0 + 86 = 86 4y + y2 = 86 The y term is 4y. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4y + 4 + y2 = 86 + 4 Reorder the terms: 4 + 4y + y2 = 86 + 4 Combine like terms: 86 + 4 = 90 4 + 4y + y2 = 90 Factor a perfect square on the left side: (y + 2)(y + 2) = 90 Calculate the square root of the right side: 9.486832981 Break this problem into two subproblems by setting (y + 2) equal to 9.486832981 and -9.486832981.Subproblem 1
y + 2 = 9.486832981 Simplifying y + 2 = 9.486832981 Reorder the terms: 2 + y = 9.486832981 Solving 2 + y = 9.486832981 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 9.486832981 + -2 Combine like terms: 2 + -2 = 0 0 + y = 9.486832981 + -2 y = 9.486832981 + -2 Combine like terms: 9.486832981 + -2 = 7.486832981 y = 7.486832981 Simplifying y = 7.486832981Subproblem 2
y + 2 = -9.486832981 Simplifying y + 2 = -9.486832981 Reorder the terms: 2 + y = -9.486832981 Solving 2 + y = -9.486832981 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = -9.486832981 + -2 Combine like terms: 2 + -2 = 0 0 + y = -9.486832981 + -2 y = -9.486832981 + -2 Combine like terms: -9.486832981 + -2 = -11.486832981 y = -11.486832981 Simplifying y = -11.486832981Solution
The solution to the problem is based on the solutions from the subproblems. y = {7.486832981, -11.486832981}
| -36-7v=-5(7v+3)+7v | | 126=2(x+2) | | 3x+4+2x-9=7x-13 | | 35000+25d=17615+550d | | log(2x-5)-log(x-3)=1 | | 2x^(11/6)/x^(4/3) | | -6+3x=-6(1+5x) | | 0=6t(t+3) | | 25c+17=183 | | b/4-2=0 | | Log[8]x=-2 | | 4(x+3)=2x-3 | | 1/2=-2/5v-1/3 | | 4p+10+2p=20 | | -2+2r=-18 | | 3(x-4)-4=(x-8) | | -2x-2=-20 | | 2(n+3)=3n+3 | | -x-6x=0 | | 4(x+2)=8x-10 | | (-6)(5-2)= | | 2/1x=24 | | 22{3}=x | | 4x+14=6x+10 | | r^2-4= | | 10y-5=-8+6y | | 7.5x^2-30x+30=x^2 | | x^2+4x=243 | | (2/5)x-(1/3)x=4 | | 5+a/2=7 | | 6y-9-3y+10=26 | | -36-15.5x=26 |