If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (u + 3)(u) = 65 Reorder the terms: (3 + u)(u) = 65 Reorder the terms for easier multiplication: u(3 + u) = 65 (3 * u + u * u) = 65 (3u + u2) = 65 Solving 3u + u2 = 65 Solving for variable 'u'. Reorder the terms: -65 + 3u + u2 = 65 + -65 Combine like terms: 65 + -65 = 0 -65 + 3u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '65' to each side of the equation. -65 + 3u + 65 + u2 = 0 + 65 Reorder the terms: -65 + 65 + 3u + u2 = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 3u + u2 = 0 + 65 3u + u2 = 0 + 65 Combine like terms: 0 + 65 = 65 3u + u2 = 65 The u term is 3u. 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. 3u + 2.25 + u2 = 65 + 2.25 Reorder the terms: 2.25 + 3u + u2 = 65 + 2.25 Combine like terms: 65 + 2.25 = 67.25 2.25 + 3u + u2 = 67.25 Factor a perfect square on the left side: (u + 1.5)(u + 1.5) = 67.25 Calculate the square root of the right side: 8.200609733 Break this problem into two subproblems by setting (u + 1.5) equal to 8.200609733 and -8.200609733.Subproblem 1
u + 1.5 = 8.200609733 Simplifying u + 1.5 = 8.200609733 Reorder the terms: 1.5 + u = 8.200609733 Solving 1.5 + u = 8.200609733 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + u = 8.200609733 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + u = 8.200609733 + -1.5 u = 8.200609733 + -1.5 Combine like terms: 8.200609733 + -1.5 = 6.700609733 u = 6.700609733 Simplifying u = 6.700609733Subproblem 2
u + 1.5 = -8.200609733 Simplifying u + 1.5 = -8.200609733 Reorder the terms: 1.5 + u = -8.200609733 Solving 1.5 + u = -8.200609733 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + u = -8.200609733 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + u = -8.200609733 + -1.5 u = -8.200609733 + -1.5 Combine like terms: -8.200609733 + -1.5 = -9.700609733 u = -9.700609733 Simplifying u = -9.700609733Solution
The solution to the problem is based on the solutions from the subproblems. u = {6.700609733, -9.700609733}
| 27=3x-3(6-2x) | | 9x-(x-3)=7(x+1)+8 | | 9=14 | | -54(x-94)=x+37 | | 6x^2+12x-420=0 | | 2(5c-1)-12=8c+2 | | z-14=-22 | | 3x+2-4=-2 | | 3y+2(y-2)=7y-4(y-10) | | 9x-3(6+x)+32= | | 39=3v | | 2+a/4=0 | | 3*m-10=2(4*m-5) | | f(6a)=5(6a)-2 | | 78x^2+58x+c=0 | | 15-2x=-10+3x | | 0.11p+1.5=2.29 | | 7(x+9)=6(x-9)+x | | (6x-2)=3(x+1)+3 | | 3y=2x+5 | | 7(n+4)=3n-8 | | 3n-1=38 | | 14x+5y=294 | | 7(x+6)=(x-7)+x | | 10x-30=11x | | 6d+8.7=d+8.7 | | 3x^2-4=-2 | | 6d+8.8=d+8.7 | | x-4-3*x=-2*x-3-1 | | 2(34)+2(99)=p | | 12-52(45+62)=32 | | -2(x+4)-5=2x+3 |