If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4z2 + 4z + -2 = 0 Reorder the terms: -2 + 4z + 4z2 = 0 Solving -2 + 4z + 4z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 2z + 2z2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 2z + 2z2)' equal to zero and attempt to solve: Simplifying -1 + 2z + 2z2 = 0 Solving -1 + 2z + 2z2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + z + z2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + z + 0.5 + z2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + z + z2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + z + z2 = 0 + 0.5 z + z2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 z + z2 = 0.5 The z term is z. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + z2 = 0.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + z2 = 0.5 + 0.25 Combine like terms: 0.5 + 0.25 = 0.75 1.25 + z2 = 0.75 Factor a perfect square on the left side: (z + 0.5)(z + 0.5) = 0.75 Calculate the square root of the right side: 0.866025404 Break this problem into two subproblems by setting (z + 0.5) equal to 0.866025404 and -0.866025404.Subproblem 1
z + 0.5 = 0.866025404 Simplifying z + 0.5 = 0.866025404 Reorder the terms: 0.5 + z = 0.866025404 Solving 0.5 + z = 0.866025404 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + z = 0.866025404 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + z = 0.866025404 + -0.5 z = 0.866025404 + -0.5 Combine like terms: 0.866025404 + -0.5 = 0.366025404 z = 0.366025404 Simplifying z = 0.366025404Subproblem 2
z + 0.5 = -0.866025404 Simplifying z + 0.5 = -0.866025404 Reorder the terms: 0.5 + z = -0.866025404 Solving 0.5 + z = -0.866025404 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + z = -0.866025404 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + z = -0.866025404 + -0.5 z = -0.866025404 + -0.5 Combine like terms: -0.866025404 + -0.5 = -1.366025404 z = -1.366025404 Simplifying z = -1.366025404Solution
The solution to the problem is based on the solutions from the subproblems. z = {0.366025404, -1.366025404}Solution
z = {0.366025404, -1.366025404}
| 24=6(x+6)-8x | | -4x+6x=-2+12 | | (4x+9)(8x-9)=0 | | -33=4(w-3)-7w | | a=35w+250 | | 5y-20=94 | | .06s+16000=.13s | | x/3-6=-19 | | 1.70=(x+3) | | 5x-56=24 | | 3(2x-50)=6(x-4)+9 | | (2x+5)=(3x-5) | | 5t^2-2+3=0 | | x/4-6=-19 | | 2x-1/19=x/10 | | -23+c=-19 | | 4[7-(6x-7)]+8x=0 | | 10b+6=3b+8 | | 10x-105=-285 | | 2x-10=162 | | 4v+15b=459 | | 9x+8=-55 | | t+1.9=3.9 | | 0=-16t^2+5t+400 | | 5/6z=17/8 | | 2x+4=-(-7x-6) | | 400=-16t^2+5t+400 | | 2(x+4)=2(2x+6) | | 73m+36=-1205 | | 0.2x+6=4 | | 3*2y+7-2y=3 | | 12x^2-60x+73=0 |