If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16z2 + 62 = 64z Reorder the terms: 62 + 16z2 = 64z Solving 62 + 16z2 = 64z Solving for variable 'z'. Reorder the terms: 62 + -64z + 16z2 = 64z + -64z Combine like terms: 64z + -64z = 0 62 + -64z + 16z2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(31 + -32z + 8z2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(31 + -32z + 8z2)' equal to zero and attempt to solve: Simplifying 31 + -32z + 8z2 = 0 Solving 31 + -32z + 8z2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 3.875 + -4z + z2 = 0 Move the constant term to the right: Add '-3.875' to each side of the equation. 3.875 + -4z + -3.875 + z2 = 0 + -3.875 Reorder the terms: 3.875 + -3.875 + -4z + z2 = 0 + -3.875 Combine like terms: 3.875 + -3.875 = 0.000 0.000 + -4z + z2 = 0 + -3.875 -4z + z2 = 0 + -3.875 Combine like terms: 0 + -3.875 = -3.875 -4z + z2 = -3.875 The z term is -4z. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4z + 4 + z2 = -3.875 + 4 Reorder the terms: 4 + -4z + z2 = -3.875 + 4 Combine like terms: -3.875 + 4 = 0.125 4 + -4z + z2 = 0.125 Factor a perfect square on the left side: (z + -2)(z + -2) = 0.125 Calculate the square root of the right side: 0.353553391 Break this problem into two subproblems by setting (z + -2) equal to 0.353553391 and -0.353553391.Subproblem 1
z + -2 = 0.353553391 Simplifying z + -2 = 0.353553391 Reorder the terms: -2 + z = 0.353553391 Solving -2 + z = 0.353553391 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + z = 0.353553391 + 2 Combine like terms: -2 + 2 = 0 0 + z = 0.353553391 + 2 z = 0.353553391 + 2 Combine like terms: 0.353553391 + 2 = 2.353553391 z = 2.353553391 Simplifying z = 2.353553391Subproblem 2
z + -2 = -0.353553391 Simplifying z + -2 = -0.353553391 Reorder the terms: -2 + z = -0.353553391 Solving -2 + z = -0.353553391 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + z = -0.353553391 + 2 Combine like terms: -2 + 2 = 0 0 + z = -0.353553391 + 2 z = -0.353553391 + 2 Combine like terms: -0.353553391 + 2 = 1.646446609 z = 1.646446609 Simplifying z = 1.646446609Solution
The solution to the problem is based on the solutions from the subproblems. z = {2.353553391, 1.646446609}Solution
z = {2.353553391, 1.646446609}
| 7.2/1.2 | | 14a=3a+30+a | | 8x-(4x-9)=1 | | 3x^2-25-18=0 | | 42-4.5= | | 24x+4x^2=3 | | 2x^4+3x^3=x | | 5x-(2x-3)=15 | | 2x^2+3x^3=x | | 6x+x^2=3 | | x+.08x=162 | | 21=6x-4x | | 24x10=21/2 | | (36-2x)/18 | | (7x-3)+x+(x-4)=646 | | 36-2x/18 | | 3x+6=105 | | 7/15x2/3 | | 7a+5b=-58 | | -8x+6(x-3)=-36 | | 5x+x+2=9x-14 | | 6(4x-3)+12X+10(x-4)=646 | | 4+2w=-10 | | .012n+0.07(4500-n)=0.08(4500) | | X-14=9x+18 | | (4x-3)+x+(x-4)=646 | | x-.4x=78 | | (-3/8)u=6 | | x*.4=78 | | 4*.4=78 | | x+4.5=15.9 | | .4x+.2(50)=.3(x+40) |