If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + 30z = 29 Reorder the terms: 30z + z2 = 29 Solving 30z + z2 = 29 Solving for variable 'z'. Reorder the terms: -29 + 30z + z2 = 29 + -29 Combine like terms: 29 + -29 = 0 -29 + 30z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '29' to each side of the equation. -29 + 30z + 29 + z2 = 0 + 29 Reorder the terms: -29 + 29 + 30z + z2 = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 30z + z2 = 0 + 29 30z + z2 = 0 + 29 Combine like terms: 0 + 29 = 29 30z + z2 = 29 The z term is 30z. Take half its coefficient (15). Square it (225) and add it to both sides. Add '225' to each side of the equation. 30z + 225 + z2 = 29 + 225 Reorder the terms: 225 + 30z + z2 = 29 + 225 Combine like terms: 29 + 225 = 254 225 + 30z + z2 = 254 Factor a perfect square on the left side: (z + 15)(z + 15) = 254 Calculate the square root of the right side: 15.937377451 Break this problem into two subproblems by setting (z + 15) equal to 15.937377451 and -15.937377451.Subproblem 1
z + 15 = 15.937377451 Simplifying z + 15 = 15.937377451 Reorder the terms: 15 + z = 15.937377451 Solving 15 + z = 15.937377451 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + z = 15.937377451 + -15 Combine like terms: 15 + -15 = 0 0 + z = 15.937377451 + -15 z = 15.937377451 + -15 Combine like terms: 15.937377451 + -15 = 0.937377451 z = 0.937377451 Simplifying z = 0.937377451Subproblem 2
z + 15 = -15.937377451 Simplifying z + 15 = -15.937377451 Reorder the terms: 15 + z = -15.937377451 Solving 15 + z = -15.937377451 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + z = -15.937377451 + -15 Combine like terms: 15 + -15 = 0 0 + z = -15.937377451 + -15 z = -15.937377451 + -15 Combine like terms: -15.937377451 + -15 = -30.937377451 z = -30.937377451 Simplifying z = -30.937377451Solution
The solution to the problem is based on the solutions from the subproblems. z = {0.937377451, -30.937377451}
| 49^(3/2) | | f^2+3f-47=0 | | (6y+9)-(4y-9)= | | Sin((10pi/1.4)/1.4)/(1.4-1) | | 4g^2+20g=124 | | (x-5)=49^(3/2) | | (2x+6)=(7x-2) | | (2x-4)-(5x+6)=0 | | (9y+5)-(6y-2)= | | v*43=1204 | | (x-5)=36^(3/2) | | Sin((10pi/2)-0) | | (9y+5)=(6y-2) | | 4v^2-64v+28=0 | | (-2a-7)(b-2)= | | 2y^2+92y=0 | | 2-a+3a-4-5+2a-a= | | sin((10pi/2))-0 | | 98w^2-8=0 | | v*3.2=19 | | (2x-1)-(5x-6)=0 | | 3f^2+72f=0 | | 7.2=u*1.5 | | a+2b-b-3a+4a-2b+1= | | 3u^2+11u-14=0 | | a+b+c+a+b+c= | | 104+9x=128+6x | | 2x^(7/3)-22=0 | | x-0.9x-2=6.5(x+5.6) | | y-4/5=3 | | -3(5x-6)=-3x | | 15y-45=38y |