If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y2 + 2y = 5 Reorder the terms: 2y + 2y2 = 5 Solving 2y + 2y2 = 5 Solving for variable 'y'. Reorder the terms: -5 + 2y + 2y2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 2y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -2.5 + y + y2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + y + 2.5 + y2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + y + y2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + y + y2 = 0 + 2.5 y + y2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 y + y2 = 2.5 The y term is y. 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. + 0.25 + y2 = 2.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + y2 = 2.5 + 0.25 Combine like terms: 2.5 + 0.25 = 2.75 1.25 + y2 = 2.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = 2.75 Calculate the square root of the right side: 1.658312395 Break this problem into two subproblems by setting (y + 0.5) equal to 1.658312395 and -1.658312395.Subproblem 1
y + 0.5 = 1.658312395 Simplifying y + 0.5 = 1.658312395 Reorder the terms: 0.5 + y = 1.658312395 Solving 0.5 + y = 1.658312395 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = 1.658312395 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = 1.658312395 + -0.5 y = 1.658312395 + -0.5 Combine like terms: 1.658312395 + -0.5 = 1.158312395 y = 1.158312395 Simplifying y = 1.158312395Subproblem 2
y + 0.5 = -1.658312395 Simplifying y + 0.5 = -1.658312395 Reorder the terms: 0.5 + y = -1.658312395 Solving 0.5 + y = -1.658312395 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = -1.658312395 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = -1.658312395 + -0.5 y = -1.658312395 + -0.5 Combine like terms: -1.658312395 + -0.5 = -2.158312395 y = -2.158312395 Simplifying y = -2.158312395Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.158312395, -2.158312395}
| 4x-3y+7x+5y= | | 105=x^2+16x | | 62+5=4z-7 | | 5=-4b-8 | | 3p+4p-2=12 | | -(2x-5)=2(x+2)+3x | | 2+u=4 | | -3f-1=8-3f | | 5=2y^2+2y | | 4=-8f+5 | | 6x+3x+5+7=48 | | 2/3x-14=22 | | x=2x+x^2 | | 72+5x-8+6x+6=180 | | 7a+6=-24 | | 3x-12-4x=6+5x | | 7+r=9 | | 9(x+6)+2(x+6)=7x-7 | | 9x-12y=8 | | 6(2c+10)=5(c+5) | | 4n^2-7=-7n | | 30/20=x/4 | | 5c+9=4z-1 | | 3+4(x-5)=34 | | 9(x+1)+4(x+1)=6x-6 | | -6+11=-5-2 | | x^7-6x^5+2x^4-5=0 | | 2p-3=11 | | 3+7n=1+6n | | ln^3x=5 | | 5k^2=6-k | | (x+1)+(y-2)=7 |