If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x(x + 7) + 5(x + -2) = 11x + 60 Reorder the terms: 3x(7 + x) + 5(x + -2) = 11x + 60 (7 * 3x + x * 3x) + 5(x + -2) = 11x + 60 (21x + 3x2) + 5(x + -2) = 11x + 60 Reorder the terms: 21x + 3x2 + 5(-2 + x) = 11x + 60 21x + 3x2 + (-2 * 5 + x * 5) = 11x + 60 21x + 3x2 + (-10 + 5x) = 11x + 60 Reorder the terms: -10 + 21x + 5x + 3x2 = 11x + 60 Combine like terms: 21x + 5x = 26x -10 + 26x + 3x2 = 11x + 60 Reorder the terms: -10 + 26x + 3x2 = 60 + 11x Solving -10 + 26x + 3x2 = 60 + 11x Solving for variable 'x'. Reorder the terms: -10 + -60 + 26x + -11x + 3x2 = 60 + 11x + -60 + -11x Combine like terms: -10 + -60 = -70 -70 + 26x + -11x + 3x2 = 60 + 11x + -60 + -11x Combine like terms: 26x + -11x = 15x -70 + 15x + 3x2 = 60 + 11x + -60 + -11x Reorder the terms: -70 + 15x + 3x2 = 60 + -60 + 11x + -11x Combine like terms: 60 + -60 = 0 -70 + 15x + 3x2 = 0 + 11x + -11x -70 + 15x + 3x2 = 11x + -11x Combine like terms: 11x + -11x = 0 -70 + 15x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -23.33333333 + 5x + x2 = 0 Move the constant term to the right: Add '23.33333333' to each side of the equation. -23.33333333 + 5x + 23.33333333 + x2 = 0 + 23.33333333 Reorder the terms: -23.33333333 + 23.33333333 + 5x + x2 = 0 + 23.33333333 Combine like terms: -23.33333333 + 23.33333333 = 0.00000000 0.00000000 + 5x + x2 = 0 + 23.33333333 5x + x2 = 0 + 23.33333333 Combine like terms: 0 + 23.33333333 = 23.33333333 5x + x2 = 23.33333333 The x term is 5x. 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. 5x + 6.25 + x2 = 23.33333333 + 6.25 Reorder the terms: 6.25 + 5x + x2 = 23.33333333 + 6.25 Combine like terms: 23.33333333 + 6.25 = 29.58333333 6.25 + 5x + x2 = 29.58333333 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = 29.58333333 Calculate the square root of the right side: 5.43905629 Break this problem into two subproblems by setting (x + 2.5) equal to 5.43905629 and -5.43905629.Subproblem 1
x + 2.5 = 5.43905629 Simplifying x + 2.5 = 5.43905629 Reorder the terms: 2.5 + x = 5.43905629 Solving 2.5 + x = 5.43905629 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 5.43905629 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 5.43905629 + -2.5 x = 5.43905629 + -2.5 Combine like terms: 5.43905629 + -2.5 = 2.93905629 x = 2.93905629 Simplifying x = 2.93905629Subproblem 2
x + 2.5 = -5.43905629 Simplifying x + 2.5 = -5.43905629 Reorder the terms: 2.5 + x = -5.43905629 Solving 2.5 + x = -5.43905629 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -5.43905629 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -5.43905629 + -2.5 x = -5.43905629 + -2.5 Combine like terms: -5.43905629 + -2.5 = -7.93905629 x = -7.93905629 Simplifying x = -7.93905629Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.93905629, -7.93905629}
| 3(n+4)=3n+42 | | 2/3y-4/3y=2/3+2/3 | | 1/4(2p-4) | | (m+10)2m=180 | | -7t=6.5 | | 171/4x85/4 | | 56+2x=16 | | 2x+55=6x+7 | | 7x+15-3x=87 | | (3x-7)-4=0 | | 0.05w=-10.2 | | 4z+8z=15+9 | | 5(2x-6)=4x+6 | | Px=80-5X | | 3q=180 | | 19=-2x+4 | | -5x=5.2 | | 4v=-16 | | z+6+z=2z-4 | | 26x^2-39x= | | -6x^2+41x-7=0 | | 6y-4y=20+5y+16 | | 7b=-14 | | 2(4x-5)=28 | | -6x^2-41x=0 | | 56+2x=-16 | | c-5=-25 | | (x+10)x(x+5)=180 | | 40=2(10-y) | | (x+10)(x+5)=180 | | 5x+6=9x-6 | | -x/5=4 |