If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9z2 + 21z + -16 = 0 Reorder the terms: -16 + 21z + 9z2 = 0 Solving -16 + 21z + 9z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -1.777777778 + 2.333333333z + z2 = 0 Move the constant term to the right: Add '1.777777778' to each side of the equation. -1.777777778 + 2.333333333z + 1.777777778 + z2 = 0 + 1.777777778 Reorder the terms: -1.777777778 + 1.777777778 + 2.333333333z + z2 = 0 + 1.777777778 Combine like terms: -1.777777778 + 1.777777778 = 0.000000000 0.000000000 + 2.333333333z + z2 = 0 + 1.777777778 2.333333333z + z2 = 0 + 1.777777778 Combine like terms: 0 + 1.777777778 = 1.777777778 2.333333333z + z2 = 1.777777778 The z term is 2.333333333z. Take half its coefficient (1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. 2.333333333z + 1.361111112 + z2 = 1.777777778 + 1.361111112 Reorder the terms: 1.361111112 + 2.333333333z + z2 = 1.777777778 + 1.361111112 Combine like terms: 1.777777778 + 1.361111112 = 3.13888889 1.361111112 + 2.333333333z + z2 = 3.13888889 Factor a perfect square on the left side: (z + 1.166666667)(z + 1.166666667) = 3.13888889 Calculate the square root of the right side: 1.771690969 Break this problem into two subproblems by setting (z + 1.166666667) equal to 1.771690969 and -1.771690969.Subproblem 1
z + 1.166666667 = 1.771690969 Simplifying z + 1.166666667 = 1.771690969 Reorder the terms: 1.166666667 + z = 1.771690969 Solving 1.166666667 + z = 1.771690969 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.166666667' to each side of the equation. 1.166666667 + -1.166666667 + z = 1.771690969 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + z = 1.771690969 + -1.166666667 z = 1.771690969 + -1.166666667 Combine like terms: 1.771690969 + -1.166666667 = 0.605024302 z = 0.605024302 Simplifying z = 0.605024302Subproblem 2
z + 1.166666667 = -1.771690969 Simplifying z + 1.166666667 = -1.771690969 Reorder the terms: 1.166666667 + z = -1.771690969 Solving 1.166666667 + z = -1.771690969 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.166666667' to each side of the equation. 1.166666667 + -1.166666667 + z = -1.771690969 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + z = -1.771690969 + -1.166666667 z = -1.771690969 + -1.166666667 Combine like terms: -1.771690969 + -1.166666667 = -2.938357636 z = -2.938357636 Simplifying z = -2.938357636Solution
The solution to the problem is based on the solutions from the subproblems. z = {0.605024302, -2.938357636}
| 13(z-8)=-91 | | 3x-5(x-5)=-7+5x-3 | | 2(u+5)-5u=19 | | 23=7+v | | 5n+16=9n | | -5(8n-6)+1=31-2n | | 2x-3(3)=-5 | | 3ab-7c=10 | | x+1.7=12 | | -1-2/7v02 | | V=1/3•3.14r2h | | 4x-8+x=22 | | 16=92-1 | | 3t-(1/4)=7/8 | | (5x^2)-7xy=0 | | n+-3=-4 | | 11w+2(3w-11)=15w | | f(x)=2a+3b | | 14a^2/2a | | 9x+3(x+3)=-39 | | 18X+5=17X+12 | | ln(4x-9)=2 | | 4(n+5)=3(n-1) | | 5x+(-6)+14x+5=97 | | 2x-2x=8-8 | | 2(34-8)=20 | | -21+7x=-3-3(6+3x) | | -8x+4+9x=-21+10 | | -3+(4x)+9+12x=62 | | 19n-7m+2n-3m= | | 2a-4/3 | | 3xn=-24 |