If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + -16z = -13 Reorder the terms: -16z + z2 = -13 Solving -16z + z2 = -13 Solving for variable 'z'. Reorder the terms: 13 + -16z + z2 = -13 + 13 Combine like terms: -13 + 13 = 0 13 + -16z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -16z + -13 + z2 = 0 + -13 Reorder the terms: 13 + -13 + -16z + z2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -16z + z2 = 0 + -13 -16z + z2 = 0 + -13 Combine like terms: 0 + -13 = -13 -16z + z2 = -13 The z term is -16z. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16z + 64 + z2 = -13 + 64 Reorder the terms: 64 + -16z + z2 = -13 + 64 Combine like terms: -13 + 64 = 51 64 + -16z + z2 = 51 Factor a perfect square on the left side: (z + -8)(z + -8) = 51 Calculate the square root of the right side: 7.141428429 Break this problem into two subproblems by setting (z + -8) equal to 7.141428429 and -7.141428429.Subproblem 1
z + -8 = 7.141428429 Simplifying z + -8 = 7.141428429 Reorder the terms: -8 + z = 7.141428429 Solving -8 + z = 7.141428429 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + z = 7.141428429 + 8 Combine like terms: -8 + 8 = 0 0 + z = 7.141428429 + 8 z = 7.141428429 + 8 Combine like terms: 7.141428429 + 8 = 15.141428429 z = 15.141428429 Simplifying z = 15.141428429Subproblem 2
z + -8 = -7.141428429 Simplifying z + -8 = -7.141428429 Reorder the terms: -8 + z = -7.141428429 Solving -8 + z = -7.141428429 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + z = -7.141428429 + 8 Combine like terms: -8 + 8 = 0 0 + z = -7.141428429 + 8 z = -7.141428429 + 8 Combine like terms: -7.141428429 + 8 = 0.858571571 z = 0.858571571 Simplifying z = 0.858571571Solution
The solution to the problem is based on the solutions from the subproblems. z = {15.141428429, 0.858571571}
| -6r=10-4r | | 5b^2+b=1 | | 1-5y=5 | | -11+x=10-2x | | (100/9)(810,000-x^2)^0.5 | | (x-2)(2x+1)= | | 20-25x=25 | | -3v-6-v-5= | | 5ex=5 | | 14t^3+21t^2+16t+24= | | 2v^2=v+6 | | x-12=2x-14 | | 5(2)+15y=10 | | 5n^2-4n-10=15 | | -2m+16=m^2 | | 5y^2+16y=3 | | 16w-8w= | | m^2=-2m+15 | | 12-3=7x+2 | | =3x+1 | | 11N-6N= | | 3v^2-5=14v | | x-10=98 | | 2t^2+3t+32=0 | | 2t^2+3t+32=4600 | | 5/0.36 | | ln(9-4x)= | | 27x^2-18x^3=0 | | 8x-14=3(2x+2)+2x | | 2t^2+t-8=0 | | 6-9w=-9w+6 | | (8p+7)2=7(8p+7)-6 |