If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3y + y2 = 5 Solving 3y + y2 = 5 Solving for variable 'y'. Reorder the terms: -5 + 3y + y2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 3y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '5' to each side of the equation. -5 + 3y + 5 + y2 = 0 + 5 Reorder the terms: -5 + 5 + 3y + y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3y + y2 = 0 + 5 3y + y2 = 0 + 5 Combine like terms: 0 + 5 = 5 3y + y2 = 5 The y term is 3y. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3y + 2.25 + y2 = 5 + 2.25 Reorder the terms: 2.25 + 3y + y2 = 5 + 2.25 Combine like terms: 5 + 2.25 = 7.25 2.25 + 3y + y2 = 7.25 Factor a perfect square on the left side: (y + 1.5)(y + 1.5) = 7.25 Calculate the square root of the right side: 2.692582404 Break this problem into two subproblems by setting (y + 1.5) equal to 2.692582404 and -2.692582404.Subproblem 1
y + 1.5 = 2.692582404 Simplifying y + 1.5 = 2.692582404 Reorder the terms: 1.5 + y = 2.692582404 Solving 1.5 + y = 2.692582404 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + y = 2.692582404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + y = 2.692582404 + -1.5 y = 2.692582404 + -1.5 Combine like terms: 2.692582404 + -1.5 = 1.192582404 y = 1.192582404 Simplifying y = 1.192582404Subproblem 2
y + 1.5 = -2.692582404 Simplifying y + 1.5 = -2.692582404 Reorder the terms: 1.5 + y = -2.692582404 Solving 1.5 + y = -2.692582404 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + y = -2.692582404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + y = -2.692582404 + -1.5 y = -2.692582404 + -1.5 Combine like terms: -2.692582404 + -1.5 = -4.192582404 y = -4.192582404 Simplifying y = -4.192582404Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.192582404, -4.192582404}
| -7(x-7)+6=55 | | 6g+20=4g | | x+2y+2z=0 | | m^2-10m=25 | | 15n-8=7n+5+8n | | -8+q=3 | | 4-2(a+5)=-6 | | -37+15x=123 | | 5x-3(2x-4)=10-x | | 3+4(x+10)=53 | | X^9=158 | | 43a+10-27a=27 | | (x+15)=4x | | y-9=-2(x+7) | | -15=p+p | | -6(-5+4x)=6 | | -5x-20=-100 | | m^2=10m+25 | | 31-3m=7(1-m) | | x+y-2=0 | | -7y+5=54 | | (3x-4)=(x+2) | | -58=8+6x | | 11+12+12+13+14+16+18+19+20=135 | | 30y^2-10y=0 | | 5c-6=29 | | 45*6+56.6=34 | | 7(-3x-10)=-70 | | -6+2x=-7+2x+1 | | 4w-2(3w-8)+4=-40 | | -4(t-3)+9t=3t-6 | | x=7mx-3b |