If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + -13y = 12 Reorder the terms: -13y + y2 = 12 Solving -13y + y2 = 12 Solving for variable 'y'. Reorder the terms: -12 + -13y + y2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -13y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '12' to each side of the equation. -12 + -13y + 12 + y2 = 0 + 12 Reorder the terms: -12 + 12 + -13y + y2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -13y + y2 = 0 + 12 -13y + y2 = 0 + 12 Combine like terms: 0 + 12 = 12 -13y + y2 = 12 The y term is -13y. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13y + 42.25 + y2 = 12 + 42.25 Reorder the terms: 42.25 + -13y + y2 = 12 + 42.25 Combine like terms: 12 + 42.25 = 54.25 42.25 + -13y + y2 = 54.25 Factor a perfect square on the left side: (y + -6.5)(y + -6.5) = 54.25 Calculate the square root of the right side: 7.365459931 Break this problem into two subproblems by setting (y + -6.5) equal to 7.365459931 and -7.365459931.Subproblem 1
y + -6.5 = 7.365459931 Simplifying y + -6.5 = 7.365459931 Reorder the terms: -6.5 + y = 7.365459931 Solving -6.5 + y = 7.365459931 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + y = 7.365459931 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + y = 7.365459931 + 6.5 y = 7.365459931 + 6.5 Combine like terms: 7.365459931 + 6.5 = 13.865459931 y = 13.865459931 Simplifying y = 13.865459931Subproblem 2
y + -6.5 = -7.365459931 Simplifying y + -6.5 = -7.365459931 Reorder the terms: -6.5 + y = -7.365459931 Solving -6.5 + y = -7.365459931 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + y = -7.365459931 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + y = -7.365459931 + 6.5 y = -7.365459931 + 6.5 Combine like terms: -7.365459931 + 6.5 = -0.865459931 y = -0.865459931 Simplifying y = -0.865459931Solution
The solution to the problem is based on the solutions from the subproblems. y = {13.865459931, -0.865459931}
| c^2-12c-13=0 | | 15a^3b^2-45a^2b^3-60a^2b= | | -7x-33=15+5x | | 2-x=2i+xi | | 2(3y-1)+3(3x-7)=6 | | 9+5x=9+2x | | Z-m=bz | | -2(x-4)=-24 | | 1.5x^2+3.5x+2=0 | | (6x^2+5x)=4 | | 4x-3+2x=14 | | 1.5x^2+3.5x+2=9 | | Mv=(m+m)u | | (8-3x)(15+3x)=0 | | -2.4=1.1+d | | 2(10x-10)=3(5x-15) | | 3(3x+5)=2x-20 | | 4(x-2)+7=6x-4 | | 3x+2x=110 | | 25=5+d | | 7(x-3)/7x=0 | | 44444x-3333yxz=4 | | 4*m=64 | | 71=x+2x+1.5(x)+x+5 | | 4*m=65 | | 2x+14y=-22 | | 2+xi=x+2i | | 71=x+2x+1.5(x)+(x+5) | | 12x/24y=0 | | 3x+8/5+9=13 | | 6x^3y^3+15x^2y=0 | | W/4=15 |