If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5[(b + -5)(b)] = 42 Reorder the terms: 0.5[(-5 + b)(b)] = 42 Reorder the terms for easier multiplication: 0.5[b(-5 + b)] = 42 0.5[(-5 * b + b * b)] = 42 0.5[(-5b + b2)] = 42 [-5b * 0.5 + b2 * 0.5] = 42 [-2.5b + 0.5b2] = 42 Solving -2.5b + 0.5b2 = 42 Solving for variable 'b'. Reorder the terms: -42 + -2.5b + 0.5b2 = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + -2.5b + 0.5b2 = 0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. -84 + -5b + b2 = 0 Move the constant term to the right: Add '84' to each side of the equation. -84 + -5b + 84 + b2 = 0 + 84 Reorder the terms: -84 + 84 + -5b + b2 = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -5b + b2 = 0 + 84 -5b + b2 = 0 + 84 Combine like terms: 0 + 84 = 84 -5b + b2 = 84 The b term is -5b. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5b + 6.25 + b2 = 84 + 6.25 Reorder the terms: 6.25 + -5b + b2 = 84 + 6.25 Combine like terms: 84 + 6.25 = 90.25 6.25 + -5b + b2 = 90.25 Factor a perfect square on the left side: (b + -2.5)(b + -2.5) = 90.25 Calculate the square root of the right side: 9.5 Break this problem into two subproblems by setting (b + -2.5) equal to 9.5 and -9.5.Subproblem 1
b + -2.5 = 9.5 Simplifying b + -2.5 = 9.5 Reorder the terms: -2.5 + b = 9.5 Solving -2.5 + b = 9.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + b = 9.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + b = 9.5 + 2.5 b = 9.5 + 2.5 Combine like terms: 9.5 + 2.5 = 12 b = 12 Simplifying b = 12Subproblem 2
b + -2.5 = -9.5 Simplifying b + -2.5 = -9.5 Reorder the terms: -2.5 + b = -9.5 Solving -2.5 + b = -9.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + b = -9.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + b = -9.5 + 2.5 b = -9.5 + 2.5 Combine like terms: -9.5 + 2.5 = -7 b = -7 Simplifying b = -7Solution
The solution to the problem is based on the solutions from the subproblems. b = {12, -7}
| 3x-0.2x=4.76 | | 20x-182=78 | | -10x-51=110-3x | | .5[(10+h)(h)]=12 | | 2x^3-9x^2-29x-15=(x-2)(x+5)(x+m) | | x+45=2x-18 | | Tanx=1.74 | | -4X-29=-8x+67 | | (-8x-58)+(-2x+35)+x=180 | | -1/3x=-6 | | 6x^2+48x=768 | | -11m+1=133 | | 2100=5x | | x^2-28x+98=72 | | 40+v=9v | | (5+w)(w)=84 | | (5w)(w)=84 | | (10)12=-4(-6x-3) | | 10+4w=84 | | 8x(1x+6)=0 | | 78=-2m(m+3)+m | | q^4+61q^2+900=0 | | sec(3x/2)=2 | | -5-2=-4x+7 | | 1-6y=4-7y | | 4/(5x^(1/5))=0 | | k/4-13=4 | | 17x+1.79=50 | | 10-6m=-44 | | 3(2-z)/=-z | | -10p+9p=112 | | (Y^7x)/(y^4x^5) |