If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y(60 + y) = 240 (60 * y + y * y) = 240 (60y + y2) = 240 Solving 60y + y2 = 240 Solving for variable 'y'. Reorder the terms: -240 + 60y + y2 = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + 60y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '240' to each side of the equation. -240 + 60y + 240 + y2 = 0 + 240 Reorder the terms: -240 + 240 + 60y + y2 = 0 + 240 Combine like terms: -240 + 240 = 0 0 + 60y + y2 = 0 + 240 60y + y2 = 0 + 240 Combine like terms: 0 + 240 = 240 60y + y2 = 240 The y term is 60y. Take half its coefficient (30). Square it (900) and add it to both sides. Add '900' to each side of the equation. 60y + 900 + y2 = 240 + 900 Reorder the terms: 900 + 60y + y2 = 240 + 900 Combine like terms: 240 + 900 = 1140 900 + 60y + y2 = 1140 Factor a perfect square on the left side: (y + 30)(y + 30) = 1140 Calculate the square root of the right side: 33.763886032 Break this problem into two subproblems by setting (y + 30) equal to 33.763886032 and -33.763886032.Subproblem 1
y + 30 = 33.763886032 Simplifying y + 30 = 33.763886032 Reorder the terms: 30 + y = 33.763886032 Solving 30 + y = 33.763886032 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + y = 33.763886032 + -30 Combine like terms: 30 + -30 = 0 0 + y = 33.763886032 + -30 y = 33.763886032 + -30 Combine like terms: 33.763886032 + -30 = 3.763886032 y = 3.763886032 Simplifying y = 3.763886032Subproblem 2
y + 30 = -33.763886032 Simplifying y + 30 = -33.763886032 Reorder the terms: 30 + y = -33.763886032 Solving 30 + y = -33.763886032 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + y = -33.763886032 + -30 Combine like terms: 30 + -30 = 0 0 + y = -33.763886032 + -30 y = -33.763886032 + -30 Combine like terms: -33.763886032 + -30 = -63.763886032 y = -63.763886032 Simplifying y = -63.763886032Solution
The solution to the problem is based on the solutions from the subproblems. y = {3.763886032, -63.763886032}
| 8+22=-3(9z-10) | | a^2+3a=-2 | | 6x+x+45=3x-89 | | 352squared+30x=0 | | 4+5(-1-8v-10v)=-1-90v | | y(60y+60)=240 | | x=4(-3)+18 | | 9+5*4= | | 2y(3y^4+14y^3+8y^2)= | | 18-4K=34 | | -2(3p+1)=6(4+p) | | 4(2x+9)=-9+29 | | 5(4y+18)+7y=9 | | .03y+.67=1 | | (x^2-1)(x-2)(x-2)=0 | | 4x+3(x+9)=104 | | 4x+4y+5-3x=5+4 | | -2n+30=4 | | 3y^4+14y^3+8y^2= | | 5x+25=7x+31 | | 8n+3=-13+2n-2n | | a+(1-1)b-1=5 | | V-18=13.70 | | 2w-10=16-w | | 4(x-2)=2(x+2) | | 5n-(-1)=6 | | x/5+3x/10=3/2 | | (4+6i)-(-1+2i)= | | N+7=29 | | 2x-4=2(4x+7) | | M+5=m(.04) | | 3x+(-3)=84 |