If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8z + -1z2 = 3 Solving 8z + -1z2 = 3 Solving for variable 'z'. Reorder the terms: -3 + 8z + -1z2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 8z + -1z2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 3 + -8z + z2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -8z + -3 + z2 = 0 + -3 Reorder the terms: 3 + -3 + -8z + z2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8z + z2 = 0 + -3 -8z + z2 = 0 + -3 Combine like terms: 0 + -3 = -3 -8z + z2 = -3 The z term is -8z. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8z + 16 + z2 = -3 + 16 Reorder the terms: 16 + -8z + z2 = -3 + 16 Combine like terms: -3 + 16 = 13 16 + -8z + z2 = 13 Factor a perfect square on the left side: (z + -4)(z + -4) = 13 Calculate the square root of the right side: 3.605551275 Break this problem into two subproblems by setting (z + -4) equal to 3.605551275 and -3.605551275.Subproblem 1
z + -4 = 3.605551275 Simplifying z + -4 = 3.605551275 Reorder the terms: -4 + z = 3.605551275 Solving -4 + z = 3.605551275 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + z = 3.605551275 + 4 Combine like terms: -4 + 4 = 0 0 + z = 3.605551275 + 4 z = 3.605551275 + 4 Combine like terms: 3.605551275 + 4 = 7.605551275 z = 7.605551275 Simplifying z = 7.605551275Subproblem 2
z + -4 = -3.605551275 Simplifying z + -4 = -3.605551275 Reorder the terms: -4 + z = -3.605551275 Solving -4 + z = -3.605551275 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + z = -3.605551275 + 4 Combine like terms: -4 + 4 = 0 0 + z = -3.605551275 + 4 z = -3.605551275 + 4 Combine like terms: -3.605551275 + 4 = 0.394448725 z = 0.394448725 Simplifying z = 0.394448725Solution
The solution to the problem is based on the solutions from the subproblems. z = {7.605551275, 0.394448725}
| 8n-28=44 | | 8n-24=44 | | 4n-13=27 | | 6n+4=34 | | -2=-7x-4x-2 | | 624=x^2+24+10x | | 10e+100= | | x-7=-7x | | 5(k-4)=7k+11-2k | | -6(-7x+3)=-354 | | 4x^2-9x+15=3x+10 | | 6x^2+29x-5=0 | | 15-4t=-9 | | 15-4t=9 | | 2z-50=10 | | 8+3x=38 | | 32X^2-2= | | 2(x-6)+6=3(x-1)-10 | | 16x^2-y^2-6y-9= | | 6x-7+4x=8-5x | | -3x+4=19 | | 5m+4n-4(9m-9n)= | | 3c*4c= | | 8y-9=2-3y | | 4m-7=18-m | | 4t-7=14-3t | | 4y-10=5-y | | 8m-15=7-3m | | 4y+15=43 | | 9x+40=3x+40 | | 5c-2(4c-9)=5+5(2-c) | | 3(2y+3)=5-4(3-y) |