If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 15y + -10 = 0 Reorder the terms: -10 + 15y + y2 = 0 Solving -10 + 15y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '10' to each side of the equation. -10 + 15y + 10 + y2 = 0 + 10 Reorder the terms: -10 + 10 + 15y + y2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 15y + y2 = 0 + 10 15y + y2 = 0 + 10 Combine like terms: 0 + 10 = 10 15y + y2 = 10 The y term is 15y. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15y + 56.25 + y2 = 10 + 56.25 Reorder the terms: 56.25 + 15y + y2 = 10 + 56.25 Combine like terms: 10 + 56.25 = 66.25 56.25 + 15y + y2 = 66.25 Factor a perfect square on the left side: (y + 7.5)(y + 7.5) = 66.25 Calculate the square root of the right side: 8.139410298 Break this problem into two subproblems by setting (y + 7.5) equal to 8.139410298 and -8.139410298.Subproblem 1
y + 7.5 = 8.139410298 Simplifying y + 7.5 = 8.139410298 Reorder the terms: 7.5 + y = 8.139410298 Solving 7.5 + y = 8.139410298 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + y = 8.139410298 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + y = 8.139410298 + -7.5 y = 8.139410298 + -7.5 Combine like terms: 8.139410298 + -7.5 = 0.639410298 y = 0.639410298 Simplifying y = 0.639410298Subproblem 2
y + 7.5 = -8.139410298 Simplifying y + 7.5 = -8.139410298 Reorder the terms: 7.5 + y = -8.139410298 Solving 7.5 + y = -8.139410298 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + y = -8.139410298 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + y = -8.139410298 + -7.5 y = -8.139410298 + -7.5 Combine like terms: -8.139410298 + -7.5 = -15.639410298 y = -15.639410298 Simplifying y = -15.639410298Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.639410298, -15.639410298}
| 2x+10=-4x-8+8x | | 1.12b= | | 15=5+2p | | H^2+16h-3584=0 | | 1.31a= | | 9x=7x+28 | | Log^4(5x-3)+log^4(9-x)=3 | | 7x+3=10x+6 | | y=2x(x-1)-(x^2+2)1 | | 12z-3=5 | | 20-1.45*11= | | 20-1.45*6= | | 5(7d-6)-23d=12d+2 | | 160-7x=x^2+15x | | 9m-4=-2m | | 12+4y=-4 | | 80x+6240-65x=6930 | | 16y-8(3y-8)=-88 | | 2(6y+3)+3(4y-8)=21 | | 16y-8(3y-8)=88 | | 80x+6240-65x=6939 | | 3x-20=5x-50 | | y+4=3(x+5) | | 3x+6-5(x+1)=7x+5 | | 2(4x-1)=12x | | y+5=3(x+4) | | .67x=y | | 6x+8=-5 | | 15AB+12BC+17AC=22 | | 15AB=22 | | 3p-3(3-4p)=5(p-4)-13 | | -2.5x+1.5x=2 |