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Simplifying 60z3 + 40z2 + 5z = 0 Reorder the terms: 5z + 40z2 + 60z3 = 0 Solving 5z + 40z2 + 60z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z'. 5z(1 + 8z + 12z2) = 0 Factor a trinomial. 5z((1 + 2z)(1 + 6z)) = 0 Ignore the factor 5.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 '(1 + 2z)' equal to zero and attempt to solve: Simplifying 1 + 2z = 0 Solving 1 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 0 + -1 2z = 0 + -1 Combine like terms: 0 + -1 = -1 2z = -1 Divide each side by '2'. z = -0.5 Simplifying z = -0.5Subproblem 3
Set the factor '(1 + 6z)' equal to zero and attempt to solve: Simplifying 1 + 6z = 0 Solving 1 + 6z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = 0 + -1 6z = 0 + -1 Combine like terms: 0 + -1 = -1 6z = -1 Divide each side by '6'. z = -0.1666666667 Simplifying z = -0.1666666667Solution
z = {0, -0.5, -0.1666666667}
| (3a^2+5)+(4a^2-1)= | | 3x+10=0 | | 4x+7y=6 | | 2x+x+4=4x+1 | | -2[x+1]=6 | | 3x+12y=-6 | | n^2+3n-54= | | 385=55t | | [x]-10=-8 | | 5w+3(9-2w)=-18 | | 15x^2+11xy-14y^2= | | x+5y=15 | | 3x+5=7x-1 | | a^2-a-90= | | 5w+w=156 | | -3(a+2+a+8)=30-10(-a-6) | | 3[x-4]=15 | | -3(a+2+a+8)=30-10(a-6) | | 6(3+2s)+4(s+8)= | | 5x^2+2x+9= | | -3(a+2+a+8)=30-10(6-a) | | n^2-n-56= | | (x)=x | | 4=(1+9x) | | 2x^2+13x-140=0 | | -7x=(x+1)(x-12) | | 6(3+2s)4(s+8)= | | 2(w*5)+2w=156 | | 162-2x=25x+21 | | m^2+m-90= | | [x-2]=8 | | 8x+12=5x+57 |