If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 1.5b(b + 6) + 9 = 24 Reorder the terms: 1.5b(6 + b) + 9 = 24 (6 * 1.5b + b * 1.5b) + 9 = 24 (9b + 1.5b2) + 9 = 24 Reorder the terms: 9 + 9b + 1.5b2 = 24 Solving 9 + 9b + 1.5b2 = 24 Solving for variable 'b'. Reorder the terms: 9 + -24 + 9b + 1.5b2 = 24 + -24 Combine like terms: 9 + -24 = -15 -15 + 9b + 1.5b2 = 24 + -24 Combine like terms: 24 + -24 = 0 -15 + 9b + 1.5b2 = 0 Begin completing the square. Divide all terms by 1.5 the coefficient of the squared term: Divide each side by '1.5'. -10 + 6b + b2 = 0 Move the constant term to the right: Add '10' to each side of the equation. -10 + 6b + 10 + b2 = 0 + 10 Reorder the terms: -10 + 10 + 6b + b2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6b + b2 = 0 + 10 6b + b2 = 0 + 10 Combine like terms: 0 + 10 = 10 6b + b2 = 10 The b term is 6b. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6b + 9 + b2 = 10 + 9 Reorder the terms: 9 + 6b + b2 = 10 + 9 Combine like terms: 10 + 9 = 19 9 + 6b + b2 = 19 Factor a perfect square on the left side: (b + 3)(b + 3) = 19 Calculate the square root of the right side: 4.358898944 Break this problem into two subproblems by setting (b + 3) equal to 4.358898944 and -4.358898944.Subproblem 1
b + 3 = 4.358898944 Simplifying b + 3 = 4.358898944 Reorder the terms: 3 + b = 4.358898944 Solving 3 + b = 4.358898944 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + b = 4.358898944 + -3 Combine like terms: 3 + -3 = 0 0 + b = 4.358898944 + -3 b = 4.358898944 + -3 Combine like terms: 4.358898944 + -3 = 1.358898944 b = 1.358898944 Simplifying b = 1.358898944Subproblem 2
b + 3 = -4.358898944 Simplifying b + 3 = -4.358898944 Reorder the terms: 3 + b = -4.358898944 Solving 3 + b = -4.358898944 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + b = -4.358898944 + -3 Combine like terms: 3 + -3 = 0 0 + b = -4.358898944 + -3 b = -4.358898944 + -3 Combine like terms: -4.358898944 + -3 = -7.358898944 b = -7.358898944 Simplifying b = -7.358898944Solution
The solution to the problem is based on the solutions from the subproblems. b = {1.358898944, -7.358898944}
| 12a^2+12ab+3b^2=0 | | x^2+66x=0 | | 13x-2=11x+2x+10 | | -2=-5+z | | 12(4.99)+18x=30(8.98) | | 1.5b(b+x)+9=24 | | 96+184n+28n^2=0 | | 5-6(10-10p)=5(1+12p)+10p | | 7.5+x=4.5+4z | | 2236000-17740x=1985 | | -5(4p+4)-24=2(5p+8) | | 6y+10=8-(y+14) | | -6+14=12-8x | | 19m=9 | | 8-0.03x=1.72x+2.75 | | 4X+2X+2=3X-7 | | 10+4y=-18 | | Y+(-10)=-3 | | 5y-8=3+12 | | 4y+16=2y-4 | | 3x+5y=57 | | 2v^2(2v+3)= | | x^3-14x^2+8x+2=0 | | -17=17(w-4) | | -15+b-3=-9 | | (13b-1)-6(2b+1)=-5 | | -6x^3-28x^2-2x+140=0 | | -6x^3-28x^2-2z+140=0 | | 9y^2-15y=y+9 | | -41+7y+9=2(5y-4)-6 | | 80+43=12+18 | | 3(y-2)+9=8+y-5 |