If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x + 76 = 9x2 + 36x + 54 Reorder the terms: 76 + 5x = 9x2 + 36x + 54 Reorder the terms: 76 + 5x = 54 + 36x + 9x2 Solving 76 + 5x = 54 + 36x + 9x2 Solving for variable 'x'. Reorder the terms: 76 + -54 + 5x + -36x + -9x2 = 54 + 36x + 9x2 + -54 + -36x + -9x2 Combine like terms: 76 + -54 = 22 22 + 5x + -36x + -9x2 = 54 + 36x + 9x2 + -54 + -36x + -9x2 Combine like terms: 5x + -36x = -31x 22 + -31x + -9x2 = 54 + 36x + 9x2 + -54 + -36x + -9x2 Reorder the terms: 22 + -31x + -9x2 = 54 + -54 + 36x + -36x + 9x2 + -9x2 Combine like terms: 54 + -54 = 0 22 + -31x + -9x2 = 0 + 36x + -36x + 9x2 + -9x2 22 + -31x + -9x2 = 36x + -36x + 9x2 + -9x2 Combine like terms: 36x + -36x = 0 22 + -31x + -9x2 = 0 + 9x2 + -9x2 22 + -31x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 22 + -31x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. -2.444444444 + 3.444444444x + x2 = 0 Move the constant term to the right: Add '2.444444444' to each side of the equation. -2.444444444 + 3.444444444x + 2.444444444 + x2 = 0 + 2.444444444 Reorder the terms: -2.444444444 + 2.444444444 + 3.444444444x + x2 = 0 + 2.444444444 Combine like terms: -2.444444444 + 2.444444444 = 0.000000000 0.000000000 + 3.444444444x + x2 = 0 + 2.444444444 3.444444444x + x2 = 0 + 2.444444444 Combine like terms: 0 + 2.444444444 = 2.444444444 3.444444444x + x2 = 2.444444444 The x term is 3.444444444x. Take half its coefficient (1.722222222). Square it (2.966049382) and add it to both sides. Add '2.966049382' to each side of the equation. 3.444444444x + 2.966049382 + x2 = 2.444444444 + 2.966049382 Reorder the terms: 2.966049382 + 3.444444444x + x2 = 2.444444444 + 2.966049382 Combine like terms: 2.444444444 + 2.966049382 = 5.410493826 2.966049382 + 3.444444444x + x2 = 5.410493826 Factor a perfect square on the left side: (x + 1.722222222)(x + 1.722222222) = 5.410493826 Calculate the square root of the right side: 2.326046824 Break this problem into two subproblems by setting (x + 1.722222222) equal to 2.326046824 and -2.326046824.Subproblem 1
x + 1.722222222 = 2.326046824 Simplifying x + 1.722222222 = 2.326046824 Reorder the terms: 1.722222222 + x = 2.326046824 Solving 1.722222222 + x = 2.326046824 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.722222222' to each side of the equation. 1.722222222 + -1.722222222 + x = 2.326046824 + -1.722222222 Combine like terms: 1.722222222 + -1.722222222 = 0.000000000 0.000000000 + x = 2.326046824 + -1.722222222 x = 2.326046824 + -1.722222222 Combine like terms: 2.326046824 + -1.722222222 = 0.603824602 x = 0.603824602 Simplifying x = 0.603824602Subproblem 2
x + 1.722222222 = -2.326046824 Simplifying x + 1.722222222 = -2.326046824 Reorder the terms: 1.722222222 + x = -2.326046824 Solving 1.722222222 + x = -2.326046824 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.722222222' to each side of the equation. 1.722222222 + -1.722222222 + x = -2.326046824 + -1.722222222 Combine like terms: 1.722222222 + -1.722222222 = 0.000000000 0.000000000 + x = -2.326046824 + -1.722222222 x = -2.326046824 + -1.722222222 Combine like terms: -2.326046824 + -1.722222222 = -4.048269046 x = -4.048269046 Simplifying x = -4.048269046Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.603824602, -4.048269046}
| 5x+76=9x^2+36x+36 | | -n=7/3 | | -4(r+6)=-54 | | y+7=.75(8x-12) | | 5x+76=9x^2+54x+36 | | 2+a*3=12 | | -3+n=-15 | | 3n+6=9n+54 | | 7x-1/9=566/9 | | 10=5x+1-2x | | 16+(-25)= | | 6x-10+3x=4+9x-14 | | -24-12= | | 9-(4x+7)=11-4x | | -(4x-4)= | | 40=a(a-6) | | -7n-6=-n+36 | | 28x-4x^2=0 | | 3.5x-5=2.5x | | -10=6x | | 2v^2+4v+34=v^2-6v+9 | | 21-5n=-7(8n-3) | | 25-x=3.15 | | 9x^2+3x-56=0 | | 250+10x=200+15x | | 3e+6=18a | | 9x+117=4x^2+68x+289 | | 14=21c+3 | | -3n+22=-7n+14 | | 1/5(10d-5)=9 | | 1/3y+y=4 | | f(x)=2(x-3)(x-8) |