If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9x2 + 4x + -3 = 0 Reorder the terms: -3 + 4x + 9x2 = 0 Solving -3 + 4x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -0.3333333333 + 0.4444444444x + x2 = 0 Move the constant term to the right: Add '0.3333333333' to each side of the equation. -0.3333333333 + 0.4444444444x + 0.3333333333 + x2 = 0 + 0.3333333333 Reorder the terms: -0.3333333333 + 0.3333333333 + 0.4444444444x + x2 = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + 0.4444444444x + x2 = 0 + 0.3333333333 0.4444444444x + x2 = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 0.4444444444x + x2 = 0.3333333333 The x term is 0.4444444444x. Take half its coefficient (0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. 0.4444444444x + 0.04938271604 + x2 = 0.3333333333 + 0.04938271604 Reorder the terms: 0.04938271604 + 0.4444444444x + x2 = 0.3333333333 + 0.04938271604 Combine like terms: 0.3333333333 + 0.04938271604 = 0.38271604934 0.04938271604 + 0.4444444444x + x2 = 0.38271604934 Factor a perfect square on the left side: (x + 0.2222222222)(x + 0.2222222222) = 0.38271604934 Calculate the square root of the right side: 0.618640485 Break this problem into two subproblems by setting (x + 0.2222222222) equal to 0.618640485 and -0.618640485.Subproblem 1
x + 0.2222222222 = 0.618640485 Simplifying x + 0.2222222222 = 0.618640485 Reorder the terms: 0.2222222222 + x = 0.618640485 Solving 0.2222222222 + x = 0.618640485 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.2222222222 + x = 0.618640485 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + x = 0.618640485 + -0.2222222222 x = 0.618640485 + -0.2222222222 Combine like terms: 0.618640485 + -0.2222222222 = 0.3964182628 x = 0.3964182628 Simplifying x = 0.3964182628Subproblem 2
x + 0.2222222222 = -0.618640485 Simplifying x + 0.2222222222 = -0.618640485 Reorder the terms: 0.2222222222 + x = -0.618640485 Solving 0.2222222222 + x = -0.618640485 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.2222222222 + x = -0.618640485 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + x = -0.618640485 + -0.2222222222 x = -0.618640485 + -0.2222222222 Combine like terms: -0.618640485 + -0.2222222222 = -0.8408627072 x = -0.8408627072 Simplifying x = -0.8408627072Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.3964182628, -0.8408627072}
| 7m+5m=0 | | x=.5(10x-40) | | 4(2y-3)=12 | | 3a+3-5=3a-2 | | x^2+30x+81=0 | | 4p+5p=9 | | 14+6t=-t | | r^2+10r-36=3 | | 8a-4=10a+50 | | 2r^2+16r+40=0 | | p^2+6p-50=5 | | 7c+5=20 | | 12x+18=-4x+20 | | n^2+4n-13=8 | | 4x+3y=47 | | 18=6(7-4r) | | 8(q+3)=-32 | | 3r^2+30r+63=0 | | -7(p-4)=-42 | | 16x-8=5x+15 | | -3(8-4n)=12 | | 12i+3i-4i= | | v^2-4v+5=0 | | 7(3-m)=21 | | 3x+8=7x-2 | | 3(k-17)=12 | | 4(h+5)=16 | | 2x-y=-7 | | -5(3G+5)=20 | | 6(j-5)=-30 | | -3(2e-1)=21 | | x^2-16=40x-10 |