If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 29x + 78 = 0 Reorder the terms: 78 + 29x + 2x2 = 0 Solving 78 + 29x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 39 + 14.5x + x2 = 0 Move the constant term to the right: Add '-39' to each side of the equation. 39 + 14.5x + -39 + x2 = 0 + -39 Reorder the terms: 39 + -39 + 14.5x + x2 = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 14.5x + x2 = 0 + -39 14.5x + x2 = 0 + -39 Combine like terms: 0 + -39 = -39 14.5x + x2 = -39 The x term is 14.5x. Take half its coefficient (7.25). Square it (52.5625) and add it to both sides. Add '52.5625' to each side of the equation. 14.5x + 52.5625 + x2 = -39 + 52.5625 Reorder the terms: 52.5625 + 14.5x + x2 = -39 + 52.5625 Combine like terms: -39 + 52.5625 = 13.5625 52.5625 + 14.5x + x2 = 13.5625 Factor a perfect square on the left side: (x + 7.25)(x + 7.25) = 13.5625 Calculate the square root of the right side: 3.682729966 Break this problem into two subproblems by setting (x + 7.25) equal to 3.682729966 and -3.682729966.Subproblem 1
x + 7.25 = 3.682729966 Simplifying x + 7.25 = 3.682729966 Reorder the terms: 7.25 + x = 3.682729966 Solving 7.25 + x = 3.682729966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.25' to each side of the equation. 7.25 + -7.25 + x = 3.682729966 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + x = 3.682729966 + -7.25 x = 3.682729966 + -7.25 Combine like terms: 3.682729966 + -7.25 = -3.567270034 x = -3.567270034 Simplifying x = -3.567270034Subproblem 2
x + 7.25 = -3.682729966 Simplifying x + 7.25 = -3.682729966 Reorder the terms: 7.25 + x = -3.682729966 Solving 7.25 + x = -3.682729966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.25' to each side of the equation. 7.25 + -7.25 + x = -3.682729966 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + x = -3.682729966 + -7.25 x = -3.682729966 + -7.25 Combine like terms: -3.682729966 + -7.25 = -10.932729966 x = -10.932729966 Simplifying x = -10.932729966Solution
The solution to the problem is based on the solutions from the subproblems. x = {-3.567270034, -10.932729966}
| 0.8×1/5 | | 7n-13=21 | | 18-4x=-3 | | 5/12x=-4/36 | | 5x-30y=15 | | 3x^2+18x-11=154 | | -5(4n-8)=6(-4n-4) | | -90+(2)= | | 1/6x^3-7/48x^2 | | X^2-42=90 | | 4x+39=5x-3 | | 68=(20x+50)+2 | | 9x-24=4x+6 | | -11/20=-x-11/16 | | 7x-14=x-8 | | 5+2a-3=5/11 | | 5+3=58 | | -20k^2+34k=3k-27 | | 12-15+24+1=45 | | 7(8x-2)+6(x+4)=-52 | | p+0.05p=52.5 | | 2m^2=9m+14 | | -26=-2m | | 0.5q=0.6 | | 2/P-2T=1/3 | | 6.66x+10=-12 | | 12(-2a-9)+3=-9(2+12a)-3a | | -16+-3=19 | | 6z+1=13-3z | | -3x+7(x+5)=-1 | | 53-32j=97 | | 3x^2+18-11=154 |