If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8z(z2 + 5z + -3) + 5z(-4z2 + z) = 0 Reorder the terms: 8z(-3 + 5z + z2) + 5z(-4z2 + z) = 0 (-3 * 8z + 5z * 8z + z2 * 8z) + 5z(-4z2 + z) = 0 (-24z + 40z2 + 8z3) + 5z(-4z2 + z) = 0 Reorder the terms: -24z + 40z2 + 8z3 + 5z(z + -4z2) = 0 -24z + 40z2 + 8z3 + (z * 5z + -4z2 * 5z) = 0 -24z + 40z2 + 8z3 + (5z2 + -20z3) = 0 Reorder the terms: -24z + 40z2 + 5z2 + 8z3 + -20z3 = 0 Combine like terms: 40z2 + 5z2 = 45z2 -24z + 45z2 + 8z3 + -20z3 = 0 Combine like terms: 8z3 + -20z3 = -12z3 -24z + 45z2 + -12z3 = 0 Solving -24z + 45z2 + -12z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(-8 + 15z + -4z2) = 0 Ignore the factor 3.Subproblem 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 '(-8 + 15z + -4z2)' equal to zero and attempt to solve: Simplifying -8 + 15z + -4z2 = 0 Solving -8 + 15z + -4z2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2 + -3.75z + z2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -3.75z + -2 + z2 = 0 + -2 Reorder the terms: 2 + -2 + -3.75z + z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3.75z + z2 = 0 + -2 -3.75z + z2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3.75z + z2 = -2 The z term is -3.75z. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75z + 3.515625 + z2 = -2 + 3.515625 Reorder the terms: 3.515625 + -3.75z + z2 = -2 + 3.515625 Combine like terms: -2 + 3.515625 = 1.515625 3.515625 + -3.75z + z2 = 1.515625 Factor a perfect square on the left side: (z + -1.875)(z + -1.875) = 1.515625 Calculate the square root of the right side: 1.231107225 Break this problem into two subproblems by setting (z + -1.875) equal to 1.231107225 and -1.231107225.Subproblem 1
z + -1.875 = 1.231107225 Simplifying z + -1.875 = 1.231107225 Reorder the terms: -1.875 + z = 1.231107225 Solving -1.875 + z = 1.231107225 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + z = 1.231107225 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + z = 1.231107225 + 1.875 z = 1.231107225 + 1.875 Combine like terms: 1.231107225 + 1.875 = 3.106107225 z = 3.106107225 Simplifying z = 3.106107225Subproblem 2
z + -1.875 = -1.231107225 Simplifying z + -1.875 = -1.231107225 Reorder the terms: -1.875 + z = -1.231107225 Solving -1.875 + z = -1.231107225 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + z = -1.231107225 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + z = -1.231107225 + 1.875 z = -1.231107225 + 1.875 Combine like terms: -1.231107225 + 1.875 = 0.643892775 z = 0.643892775 Simplifying z = 0.643892775Solution
The solution to the problem is based on the solutions from the subproblems. z = {3.106107225, 0.643892775}Solution
z = {0, 3.106107225, 0.643892775}
| 7+5q+8-4q= | | 6i(x-4i)=8y-2i | | 5x+6=6x+11 | | 63k=9 | | -6(6-5k)-3=111 | | 0=-x^2+9x-18 | | 4tanx+5=1 | | -6x+8(-7x+5)=-332 | | -3m+28=40 | | (x-3)(x^2-4x+7)= | | 2m-(9m+6)-7m=a | | 1x-3y=-2 | | cosinex=0.6 | | 22x+199=x+10 | | 4.5y-y=-14+21 | | -(6a+6)-5(a-7)= | | 9=r-1+4 | | 7z(z^2+4z-3)+9z(-2z^2+z)= | | 6.3=9y | | 8x-12=12x-18 | | -33=5x+1 | | 4=-b+2b | | 4x+5=x-5 | | 105=5(2k+5) | | 11=-4-3n-2n | | 1.2n=14.4 | | x^3(x^2-6x+5)= | | 65x-12+43x+10=180 | | 7.00+.45= | | -2(T-8)-(T+8)=5 | | 2*2-8x+2=0 | | 3y=-15y |