If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3z3 + 15z2 + -4z = 0 Reorder the terms: -4z + 15z2 + 3z3 = 0 Solving -4z + 15z2 + 3z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-4 + 15z + 3z2) = 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 '(-4 + 15z + 3z2)' equal to zero and attempt to solve: Simplifying -4 + 15z + 3z2 = 0 Solving -4 + 15z + 3z2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1.333333333 + 5z + z2 = 0 Move the constant term to the right: Add '1.333333333' to each side of the equation. -1.333333333 + 5z + 1.333333333 + z2 = 0 + 1.333333333 Reorder the terms: -1.333333333 + 1.333333333 + 5z + z2 = 0 + 1.333333333 Combine like terms: -1.333333333 + 1.333333333 = 0.000000000 0.000000000 + 5z + z2 = 0 + 1.333333333 5z + z2 = 0 + 1.333333333 Combine like terms: 0 + 1.333333333 = 1.333333333 5z + z2 = 1.333333333 The z term is 5z. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5z + 6.25 + z2 = 1.333333333 + 6.25 Reorder the terms: 6.25 + 5z + z2 = 1.333333333 + 6.25 Combine like terms: 1.333333333 + 6.25 = 7.583333333 6.25 + 5z + z2 = 7.583333333 Factor a perfect square on the left side: (z + 2.5)(z + 2.5) = 7.583333333 Calculate the square root of the right side: 2.753785274 Break this problem into two subproblems by setting (z + 2.5) equal to 2.753785274 and -2.753785274.Subproblem 1
z + 2.5 = 2.753785274 Simplifying z + 2.5 = 2.753785274 Reorder the terms: 2.5 + z = 2.753785274 Solving 2.5 + z = 2.753785274 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + z = 2.753785274 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + z = 2.753785274 + -2.5 z = 2.753785274 + -2.5 Combine like terms: 2.753785274 + -2.5 = 0.253785274 z = 0.253785274 Simplifying z = 0.253785274Subproblem 2
z + 2.5 = -2.753785274 Simplifying z + 2.5 = -2.753785274 Reorder the terms: 2.5 + z = -2.753785274 Solving 2.5 + z = -2.753785274 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + z = -2.753785274 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + z = -2.753785274 + -2.5 z = -2.753785274 + -2.5 Combine like terms: -2.753785274 + -2.5 = -5.253785274 z = -5.253785274 Simplifying z = -5.253785274Solution
The solution to the problem is based on the solutions from the subproblems. z = {0.253785274, -5.253785274}Solution
z = {0, 0.253785274, -5.253785274}
| y=4000-3X | | 8x^6/8x^5 | | 3x+5(x-10)+2(x+20)=890 | | (3y+1)(7-y)=0 | | 5/4x-3/4=1/2 | | 7(2x-4)+(5-3x)=2 | | V=4/3pir^3 | | 5w(w+9)(w-7)=0 | | 3.6=(5-x)+(3.6-x)+(2.8-x) | | 2(x+4)+(x-10)=8 | | 1/5x-7=y | | (-14)=2-6 | | (4y-6)(3-y)=0 | | -8k-2=-14-4k | | 2x+2xy+y=14 | | 9a+7=-47 | | x+15.09=-2.57 | | 14=(10-x)+(7-x) | | 5(u+6)(-u+9)=0 | | 5y-3=3-4+2+9y-6 | | -3x-7y=0 | | 8p^2-24p+13=0 | | x+8=-47 | | 7-(2x-1)=3(2x-1)+2 | | x-4/10=3/2 | | 3.6=(5-x)+(3.6-x) | | 13.7-8r=2.9 | | x^3+3x^2-25=0 | | 2.4p+4.5=3.6p-1.9+0.4 | | g(x)=f(4x)+3 | | 14/z=2 | | 4(2x+1)=10x-3 |