If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2b3 + 3b2 + -12b = 0 Reorder the terms: -12b + 3b2 + 2b3 = 0 Solving -12b + 3b2 + 2b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-12 + 3b + 2b2) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-12 + 3b + 2b2)' equal to zero and attempt to solve: Simplifying -12 + 3b + 2b2 = 0 Solving -12 + 3b + 2b2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -6 + 1.5b + b2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + 1.5b + 6 + b2 = 0 + 6 Reorder the terms: -6 + 6 + 1.5b + b2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1.5b + b2 = 0 + 6 1.5b + b2 = 0 + 6 Combine like terms: 0 + 6 = 6 1.5b + b2 = 6 The b term is 1.5b. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5b + 0.5625 + b2 = 6 + 0.5625 Reorder the terms: 0.5625 + 1.5b + b2 = 6 + 0.5625 Combine like terms: 6 + 0.5625 = 6.5625 0.5625 + 1.5b + b2 = 6.5625 Factor a perfect square on the left side: (b + 0.75)(b + 0.75) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (b + 0.75) equal to 2.561737691 and -2.561737691.Subproblem 1
b + 0.75 = 2.561737691 Simplifying b + 0.75 = 2.561737691 Reorder the terms: 0.75 + b = 2.561737691 Solving 0.75 + b = 2.561737691 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + b = 2.561737691 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + b = 2.561737691 + -0.75 b = 2.561737691 + -0.75 Combine like terms: 2.561737691 + -0.75 = 1.811737691 b = 1.811737691 Simplifying b = 1.811737691Subproblem 2
b + 0.75 = -2.561737691 Simplifying b + 0.75 = -2.561737691 Reorder the terms: 0.75 + b = -2.561737691 Solving 0.75 + b = -2.561737691 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + b = -2.561737691 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + b = -2.561737691 + -0.75 b = -2.561737691 + -0.75 Combine like terms: -2.561737691 + -0.75 = -3.311737691 b = -3.311737691 Simplifying b = -3.311737691Solution
The solution to the problem is based on the solutions from the subproblems. b = {1.811737691, -3.311737691}Solution
b = {0, 1.811737691, -3.311737691}
| 7x-4-4=-11 | | -2=19-b | | 5x5/6= | | 5x-3/x-1 | | 5*cos(2x)+12*sin(2x)=0 | | g(6)=108 | | 2x-10=1x+3 | | 3u-w=u-6w | | 3=2s-2 | | 5(y-3)=5y-3 | | ln(x/146)=-4.4298 | | 4+3=12 | | f(2)=96 | | f(x)=96 | | 5y-15=5y-3 | | z^2-6z+12=0 | | 4a+17=5(1+2a) | | 6/5/4/3 | | 6y=9x^3 | | 5-3(4r-5)=32-6r | | 6x^3+18x^2+72x-72=0 | | 5t=6(t-5) | | X^2+y^2-4x+10y+20=0 | | 4(4x-3)=148 | | 4y+11=25 | | -3(3+2n)=-5n-7 | | 30=12xh | | 6x^3+36x^2+72x-72=0 | | 14/11=p/11 | | F-1=3-4(3) | | 3x-2-2x=x+5 | | F-1(3)=3-4(3) |