If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2b2 + 14b + -30 = 10 Reorder the terms: -30 + 14b + 2b2 = 10 Solving -30 + 14b + 2b2 = 10 Solving for variable 'b'. Reorder the terms: -30 + -10 + 14b + 2b2 = 10 + -10 Combine like terms: -30 + -10 = -40 -40 + 14b + 2b2 = 10 + -10 Combine like terms: 10 + -10 = 0 -40 + 14b + 2b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 7b + b2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + 7b + b2)' equal to zero and attempt to solve: Simplifying -20 + 7b + b2 = 0 Solving -20 + 7b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '20' to each side of the equation. -20 + 7b + 20 + b2 = 0 + 20 Reorder the terms: -20 + 20 + 7b + b2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 7b + b2 = 0 + 20 7b + b2 = 0 + 20 Combine like terms: 0 + 20 = 20 7b + b2 = 20 The b term is 7b. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7b + 12.25 + b2 = 20 + 12.25 Reorder the terms: 12.25 + 7b + b2 = 20 + 12.25 Combine like terms: 20 + 12.25 = 32.25 12.25 + 7b + b2 = 32.25 Factor a perfect square on the left side: (b + 3.5)(b + 3.5) = 32.25 Calculate the square root of the right side: 5.678908346 Break this problem into two subproblems by setting (b + 3.5) equal to 5.678908346 and -5.678908346.Subproblem 1
b + 3.5 = 5.678908346 Simplifying b + 3.5 = 5.678908346 Reorder the terms: 3.5 + b = 5.678908346 Solving 3.5 + b = 5.678908346 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + b = 5.678908346 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + b = 5.678908346 + -3.5 b = 5.678908346 + -3.5 Combine like terms: 5.678908346 + -3.5 = 2.178908346 b = 2.178908346 Simplifying b = 2.178908346Subproblem 2
b + 3.5 = -5.678908346 Simplifying b + 3.5 = -5.678908346 Reorder the terms: 3.5 + b = -5.678908346 Solving 3.5 + b = -5.678908346 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + b = -5.678908346 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + b = -5.678908346 + -3.5 b = -5.678908346 + -3.5 Combine like terms: -5.678908346 + -3.5 = -9.178908346 b = -9.178908346 Simplifying b = -9.178908346Solution
The solution to the problem is based on the solutions from the subproblems. b = {2.178908346, -9.178908346}Solution
b = {2.178908346, -9.178908346}
| 7x+2x=-5 | | n^2+7n-36=0 | | -14+b= | | -3(y-3y)+5=-4(3y-y)+6+13y | | (4x+3)=(3x+2) | | 20-4x=11-7x | | 5-0.5x=80-.25x | | 3y+5=2x+5 | | x=-5+7 | | 5z-3v=5v+4 | | log(4x)=0.3 | | 18=10+-4z | | 2(y+7)+y=-1 | | 2x+69=6x-11 | | 2-3n=n-4 | | x*x*x*x*x*x*x*x*x*x*x=.23 | | 3a-11=-3a | | x^11=23 | | 5(x+6)+2(2x+1)=14 | | ln(x)=ln(x+9)+ln(x-8) | | 4(x+7)=19+7x | | 18=-4z+10 | | -7+4x=1+5x | | 6(x-2)=36-10x^6 | | 0=3x^2-1 | | 6*.8y+y+4*.8y=180 | | 4+(x+2)i=x+2i | | (80-.25x)-(5+.5x)=9 | | (4)=3 | | 4h+12h=9+23 | | 6*.8y+y+.8y=180 | | 4=5h-11 |