If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + -12y = -33 Reorder the terms: -12y + y2 = -33 Solving -12y + y2 = -33 Solving for variable 'y'. Reorder the terms: 33 + -12y + y2 = -33 + 33 Combine like terms: -33 + 33 = 0 33 + -12y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + -12y + -33 + y2 = 0 + -33 Reorder the terms: 33 + -33 + -12y + y2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -12y + y2 = 0 + -33 -12y + y2 = 0 + -33 Combine like terms: 0 + -33 = -33 -12y + y2 = -33 The y term is -12y. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12y + 36 + y2 = -33 + 36 Reorder the terms: 36 + -12y + y2 = -33 + 36 Combine like terms: -33 + 36 = 3 36 + -12y + y2 = 3 Factor a perfect square on the left side: (y + -6)(y + -6) = 3 Calculate the square root of the right side: 1.732050808 Break this problem into two subproblems by setting (y + -6) equal to 1.732050808 and -1.732050808.Subproblem 1
y + -6 = 1.732050808 Simplifying y + -6 = 1.732050808 Reorder the terms: -6 + y = 1.732050808 Solving -6 + y = 1.732050808 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + y = 1.732050808 + 6 Combine like terms: -6 + 6 = 0 0 + y = 1.732050808 + 6 y = 1.732050808 + 6 Combine like terms: 1.732050808 + 6 = 7.732050808 y = 7.732050808 Simplifying y = 7.732050808Subproblem 2
y + -6 = -1.732050808 Simplifying y + -6 = -1.732050808 Reorder the terms: -6 + y = -1.732050808 Solving -6 + y = -1.732050808 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + y = -1.732050808 + 6 Combine like terms: -6 + 6 = 0 0 + y = -1.732050808 + 6 y = -1.732050808 + 6 Combine like terms: -1.732050808 + 6 = 4.267949192 y = 4.267949192 Simplifying y = 4.267949192Solution
The solution to the problem is based on the solutions from the subproblems. y = {7.732050808, 4.267949192}
| 6x^2-160=0 | | 4v^2-9v=9 | | y=-2x^2+4x+4 | | 4(x+1)=-x+19 | | t(3+2)-6(t-5)-11=6 | | -7z-9=141 | | 8x+7-7x=14 | | 9-10x=99-31x | | 2b^2-b^2= | | 5a+3=5 | | x^2+20x+44=0 | | h=80-4t | | -(x-3)=4x | | h=70+6t | | 4x^3+9x-3=y | | h=60+16t | | 15-2*4= | | 5x-9=-59 | | 14x^2-24x-12=0 | | 9y^5+6y^4+y^3+3y+1=0 | | -2(3n+2)=12 | | y+c*y+c= | | (x+10)+(2x)+(2x-30)= | | (2x)+(2x-30)+(x+10)=180 | | (2x-30)= | | 11y=10(y+8) | | -5+15=17x-2-16x | | -3(4y-7)+2(2y+7)= | | -8-5=10x+10-9x | | 3(2x-5)=2+4(3-x) | | -7c+4=-3 | | -3(3y-8)+2(2y+7)= |