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 = -37 Reorder the terms: -30z + z2 = -37 Solving -30z + z2 = -37 Solving for variable 'z'. Reorder the terms: 37 + -30z + z2 = -37 + 37 Combine like terms: -37 + 37 = 0 37 + -30z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-37' to each side of the equation. 37 + -30z + -37 + z2 = 0 + -37 Reorder the terms: 37 + -37 + -30z + z2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -30z + z2 = 0 + -37 -30z + z2 = 0 + -37 Combine like terms: 0 + -37 = -37 -30z + z2 = -37 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 = -37 + 225 Reorder the terms: 225 + -30z + z2 = -37 + 225 Combine like terms: -37 + 225 = 188 225 + -30z + z2 = 188 Factor a perfect square on the left side: (z + -15)(z + -15) = 188 Calculate the square root of the right side: 13.711309201 Break this problem into two subproblems by setting (z + -15) equal to 13.711309201 and -13.711309201.Subproblem 1
z + -15 = 13.711309201 Simplifying z + -15 = 13.711309201 Reorder the terms: -15 + z = 13.711309201 Solving -15 + z = 13.711309201 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 = 13.711309201 + 15 Combine like terms: -15 + 15 = 0 0 + z = 13.711309201 + 15 z = 13.711309201 + 15 Combine like terms: 13.711309201 + 15 = 28.711309201 z = 28.711309201 Simplifying z = 28.711309201Subproblem 2
z + -15 = -13.711309201 Simplifying z + -15 = -13.711309201 Reorder the terms: -15 + z = -13.711309201 Solving -15 + z = -13.711309201 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 = -13.711309201 + 15 Combine like terms: -15 + 15 = 0 0 + z = -13.711309201 + 15 z = -13.711309201 + 15 Combine like terms: -13.711309201 + 15 = 1.288690799 z = 1.288690799 Simplifying z = 1.288690799Solution
The solution to the problem is based on the solutions from the subproblems. z = {28.711309201, 1.288690799}
| h^2-4h=29 | | 8+2r-2=9r+13-6r | | x+(5/3)x=16 | | -4r^2-7r+2=0 | | 6(4x-7)=2(12x+9) | | x^2-2y=15 | | -4t^2+9t+4=0 | | 5m^2+5m-6=0 | | 9-7x=49-14 | | 2z^2+9z=0 | | 43x=172 | | 5z(z+3)=5z^2+15z-7 | | 8q^2+8q+2=0 | | =32x^3-162x | | (1+x)3=11+x | | 5h^2+8h=0 | | 9d^2-2=0 | | x(x-5)=x^2+3x+7 | | 6x-21=5x-21 | | 5v^2-9v+1=0 | | -q^2-8q-2=0 | | x+.75=.75x | | 6f^2-6=0 | | s^2+8s+2=0 | | 2a^2-1=-5a | | 2r^2+7r=0 | | k^2-7k=-1 | | 1/4+6b=11/4 | | 6(4-z)/5=-z | | (2x/-3)+6=-4 | | 4(7+X)x=4 | | 2u^2+4u+2=0 |