If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6b2 + -10b = 39 Reorder the terms: -10b + 6b2 = 39 Solving -10b + 6b2 = 39 Solving for variable 'b'. Reorder the terms: -39 + -10b + 6b2 = 39 + -39 Combine like terms: 39 + -39 = 0 -39 + -10b + 6b2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -6.5 + -1.666666667b + b2 = 0 Move the constant term to the right: Add '6.5' to each side of the equation. -6.5 + -1.666666667b + 6.5 + b2 = 0 + 6.5 Reorder the terms: -6.5 + 6.5 + -1.666666667b + b2 = 0 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -1.666666667b + b2 = 0 + 6.5 -1.666666667b + b2 = 0 + 6.5 Combine like terms: 0 + 6.5 = 6.5 -1.666666667b + b2 = 6.5 The b term is -1.666666667b. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667b + 0.6944444447 + b2 = 6.5 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667b + b2 = 6.5 + 0.6944444447 Combine like terms: 6.5 + 0.6944444447 = 7.1944444447 0.6944444447 + -1.666666667b + b2 = 7.1944444447 Factor a perfect square on the left side: (b + -0.8333333335)(b + -0.8333333335) = 7.1944444447 Calculate the square root of the right side: 2.682246157 Break this problem into two subproblems by setting (b + -0.8333333335) equal to 2.682246157 and -2.682246157.Subproblem 1
b + -0.8333333335 = 2.682246157 Simplifying b + -0.8333333335 = 2.682246157 Reorder the terms: -0.8333333335 + b = 2.682246157 Solving -0.8333333335 + b = 2.682246157 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.8333333335' to each side of the equation. -0.8333333335 + 0.8333333335 + b = 2.682246157 + 0.8333333335 Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000 0.0000000000 + b = 2.682246157 + 0.8333333335 b = 2.682246157 + 0.8333333335 Combine like terms: 2.682246157 + 0.8333333335 = 3.5155794905 b = 3.5155794905 Simplifying b = 3.5155794905Subproblem 2
b + -0.8333333335 = -2.682246157 Simplifying b + -0.8333333335 = -2.682246157 Reorder the terms: -0.8333333335 + b = -2.682246157 Solving -0.8333333335 + b = -2.682246157 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.8333333335' to each side of the equation. -0.8333333335 + 0.8333333335 + b = -2.682246157 + 0.8333333335 Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000 0.0000000000 + b = -2.682246157 + 0.8333333335 b = -2.682246157 + 0.8333333335 Combine like terms: -2.682246157 + 0.8333333335 = -1.8489128235 b = -1.8489128235 Simplifying b = -1.8489128235Solution
The solution to the problem is based on the solutions from the subproblems. b = {3.5155794905, -1.8489128235}
| 2x-4=2(x+1)+3 | | X-4(1/2)=9(2/3) | | (5+x)+x=(36) | | 12-(-3x)=45 | | 11x-5x=-24 | | -8y=-13 | | 95n+1=15 | | -10(s+3)=-102 | | 3a+4b-56= | | 4n-50=n+15 | | 4/9(3s-6v)2 | | 7/4t=11/12 | | 5=5-4c-7c | | K/8=3/8 | | (z+12)z=(4+8)4 | | T=c+1+g | | 2x^2=8+5x | | 0=-x^2-15 | | X+(1250-x)/2=880 | | 9b^2+16=0 | | 7/12x-3=5/8 | | 2(2l+10)=48 | | Log(4x+5)=3 | | 6=2x+5-3x | | (1/3)x^3-4x=0 | | X^2-x-3.75=0 | | x^2+52x=672 | | x=2x^2-10 | | (q-6)*5=20 | | 2x^2+16x-28=0 | | x^3-y^3=124 | | 2x+10=-90-8x# |