If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + 4 = -6z Reorder the terms: 4 + z2 = -6z Solving 4 + z2 = -6z Solving for variable 'z'. Reorder the terms: 4 + 6z + z2 = -6z + 6z Combine like terms: -6z + 6z = 0 4 + 6z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + 6z + -4 + z2 = 0 + -4 Reorder the terms: 4 + -4 + 6z + z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6z + z2 = 0 + -4 6z + z2 = 0 + -4 Combine like terms: 0 + -4 = -4 6z + z2 = -4 The z term is 6z. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6z + 9 + z2 = -4 + 9 Reorder the terms: 9 + 6z + z2 = -4 + 9 Combine like terms: -4 + 9 = 5 9 + 6z + z2 = 5 Factor a perfect square on the left side: (z + 3)(z + 3) = 5 Calculate the square root of the right side: 2.236067978 Break this problem into two subproblems by setting (z + 3) equal to 2.236067978 and -2.236067978.Subproblem 1
z + 3 = 2.236067978 Simplifying z + 3 = 2.236067978 Reorder the terms: 3 + z = 2.236067978 Solving 3 + z = 2.236067978 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z = 2.236067978 + -3 Combine like terms: 3 + -3 = 0 0 + z = 2.236067978 + -3 z = 2.236067978 + -3 Combine like terms: 2.236067978 + -3 = -0.763932022 z = -0.763932022 Simplifying z = -0.763932022Subproblem 2
z + 3 = -2.236067978 Simplifying z + 3 = -2.236067978 Reorder the terms: 3 + z = -2.236067978 Solving 3 + z = -2.236067978 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z = -2.236067978 + -3 Combine like terms: 3 + -3 = 0 0 + z = -2.236067978 + -3 z = -2.236067978 + -3 Combine like terms: -2.236067978 + -3 = -5.236067978 z = -5.236067978 Simplifying z = -5.236067978Solution
The solution to the problem is based on the solutions from the subproblems. z = {-0.763932022, -5.236067978}
| h(t)=-5t^2+2t+50 | | 3(p-9)x^2=81 | | r/618 | | 8+7y=2y | | 3y+5y+6=22 | | Y=x/(7x-8) | | 6(u^2+54+84)= | | 196q^2+28q+1=0 | | -14n+2=-13n-10 | | x+7-2x=96+2x | | 18-2y=y | | 3x-11/x-11 | | 15a^2+5a= | | 11v-2v=27 | | -40-(-5)=x/8 | | 72y^2-50=0 | | 12x+17=10x+13 | | 48=4v+2v | | 72y^2-60=0 | | 9u-4u=25 | | 8x-3(x+2)=2(3x-1) | | -8x^4+12x^3= | | 4-y=3(t-1)-5 | | 34-18=2(x-7) | | 5r-6+12r= | | 16x^2-235x+151=0 | | 9+m=24 | | 32+5y-11=17y-11-4y | | u^2+12u+35= | | 7x-19=6z+5 | | 32+5y-11=17y-11-4 | | 5/2z=z-15/2 |