If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7z2 + -9z3 + z = 0 Reorder the terms: z + 7z2 + -9z3 = 0 Solving z + 7z2 + -9z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(1 + 7z + -9z2) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(1 + 7z + -9z2)' equal to zero and attempt to solve: Simplifying 1 + 7z + -9z2 = 0 Solving 1 + 7z + -9z2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. -0.1111111111 + -0.7777777778z + z2 = 0 Move the constant term to the right: Add '0.1111111111' to each side of the equation. -0.1111111111 + -0.7777777778z + 0.1111111111 + z2 = 0 + 0.1111111111 Reorder the terms: -0.1111111111 + 0.1111111111 + -0.7777777778z + z2 = 0 + 0.1111111111 Combine like terms: -0.1111111111 + 0.1111111111 = 0.0000000000 0.0000000000 + -0.7777777778z + z2 = 0 + 0.1111111111 -0.7777777778z + z2 = 0 + 0.1111111111 Combine like terms: 0 + 0.1111111111 = 0.1111111111 -0.7777777778z + z2 = 0.1111111111 The z term is -0.7777777778z. Take half its coefficient (-0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. -0.7777777778z + 0.1512345679 + z2 = 0.1111111111 + 0.1512345679 Reorder the terms: 0.1512345679 + -0.7777777778z + z2 = 0.1111111111 + 0.1512345679 Combine like terms: 0.1111111111 + 0.1512345679 = 0.262345679 0.1512345679 + -0.7777777778z + z2 = 0.262345679 Factor a perfect square on the left side: (z + -0.3888888889)(z + -0.3888888889) = 0.262345679 Calculate the square root of the right side: 0.512196914 Break this problem into two subproblems by setting (z + -0.3888888889) equal to 0.512196914 and -0.512196914.Subproblem 1
z + -0.3888888889 = 0.512196914 Simplifying z + -0.3888888889 = 0.512196914 Reorder the terms: -0.3888888889 + z = 0.512196914 Solving -0.3888888889 + z = 0.512196914 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.3888888889' to each side of the equation. -0.3888888889 + 0.3888888889 + z = 0.512196914 + 0.3888888889 Combine like terms: -0.3888888889 + 0.3888888889 = 0.0000000000 0.0000000000 + z = 0.512196914 + 0.3888888889 z = 0.512196914 + 0.3888888889 Combine like terms: 0.512196914 + 0.3888888889 = 0.9010858029 z = 0.9010858029 Simplifying z = 0.9010858029Subproblem 2
z + -0.3888888889 = -0.512196914 Simplifying z + -0.3888888889 = -0.512196914 Reorder the terms: -0.3888888889 + z = -0.512196914 Solving -0.3888888889 + z = -0.512196914 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.3888888889' to each side of the equation. -0.3888888889 + 0.3888888889 + z = -0.512196914 + 0.3888888889 Combine like terms: -0.3888888889 + 0.3888888889 = 0.0000000000 0.0000000000 + z = -0.512196914 + 0.3888888889 z = -0.512196914 + 0.3888888889 Combine like terms: -0.512196914 + 0.3888888889 = -0.1233080251 z = -0.1233080251 Simplifying z = -0.1233080251Solution
The solution to the problem is based on the solutions from the subproblems. z = {0.9010858029, -0.1233080251}Solution
z = {0, 0.9010858029, -0.1233080251}
| (-4+2)+(-5)*8= | | 3x+7=7x+47 | | 4(1+104x)=5 | | b^2+2-1=2 | | 2x+7=3x+37 | | 5c-15=3c+3 | | 5c+8=3c+4 | | (2k+1)(2k+1)=8 | | 4p+5p-15=8+p-2 | | 15p+5=-35(p-9) | | 7b^2-29b-30=0 | | -x^2+3y+25=0 | | -f-400=-85f-15 | | 4y-25=0 | | 23=5x+6x+1 | | 18=b+15 | | 2x-8+x=28 | | 2(4x+15)=8x+13 | | 6x^2+22x=-14 | | A-2*7=-3+t+24 | | 15y^2+x-210y+675=0 | | 4x+4-2x=10 | | -0.24+95=2x-30 | | (5c)(c+6)(c-8)= | | 15+u-22=9*9 | | (0.03)d+3000=10000+-(0.25)d | | -145=-7x-7x+9 | | 8/3+(10/3)y=3y-2 | | -x^2=-2x^2+16 | | 7x-5=3x-4+x+5 | | 26x-80+Y=2x^2 | | 13x+2x+30=5 |