If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + -13z = 36 Reorder the terms: -13z + z2 = 36 Solving -13z + z2 = 36 Solving for variable 'z'. Reorder the terms: -36 + -13z + z2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -13z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '36' to each side of the equation. -36 + -13z + 36 + z2 = 0 + 36 Reorder the terms: -36 + 36 + -13z + z2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -13z + z2 = 0 + 36 -13z + z2 = 0 + 36 Combine like terms: 0 + 36 = 36 -13z + z2 = 36 The z term is -13z. 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. -13z + 42.25 + z2 = 36 + 42.25 Reorder the terms: 42.25 + -13z + z2 = 36 + 42.25 Combine like terms: 36 + 42.25 = 78.25 42.25 + -13z + z2 = 78.25 Factor a perfect square on the left side: (z + -6.5)(z + -6.5) = 78.25 Calculate the square root of the right side: 8.845903006 Break this problem into two subproblems by setting (z + -6.5) equal to 8.845903006 and -8.845903006.Subproblem 1
z + -6.5 = 8.845903006 Simplifying z + -6.5 = 8.845903006 Reorder the terms: -6.5 + z = 8.845903006 Solving -6.5 + z = 8.845903006 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + z = 8.845903006 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + z = 8.845903006 + 6.5 z = 8.845903006 + 6.5 Combine like terms: 8.845903006 + 6.5 = 15.345903006 z = 15.345903006 Simplifying z = 15.345903006Subproblem 2
z + -6.5 = -8.845903006 Simplifying z + -6.5 = -8.845903006 Reorder the terms: -6.5 + z = -8.845903006 Solving -6.5 + z = -8.845903006 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + z = -8.845903006 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + z = -8.845903006 + 6.5 z = -8.845903006 + 6.5 Combine like terms: -8.845903006 + 6.5 = -2.345903006 z = -2.345903006 Simplifying z = -2.345903006Solution
The solution to the problem is based on the solutions from the subproblems. z = {15.345903006, -2.345903006}
| 9a=.072 | | m-70=55 | | 2x^2-7x+9=(x+3)(x+1)+3x | | n+32=90 | | 20x=180+40x | | 3+(-5)-(-12)= | | y=355+.50(y-10) | | 9m+25b=1200 | | 2=.4a-10 | | 2lgx=lg(4x+5) | | (6x-7)(x+2)=0 | | y=215+.75(y-20) | | -1x-12=-96 | | (x+2)(x+13)=0 | | (x-3)x^2= | | 7x/100=21 | | 8x+24x=15x-46 | | 7x/100=211 | | (5x^2)(4x^2)= | | .666c+6=18 | | 31=22-2c | | (5a^3+1)(5a^3-1)= | | 11x+4=3(1+2x)+1 | | 22=2u+10 | | x^2-3x+2xy-6y=0 | | 3z+4=-4 | | 5m-55-21m+6=15 | | -.4c=40 | | -.4=40 | | ln(x-6)-ln(x+2)=ln(x-4)-ln(x+10) | | 16x-(3x-(6-9x))=30x+(-(3x+2)-(x+3)) | | x-50=7/4z=z=100 |