If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 5x = 51 Reorder the terms: 5x + 2x2 = 51 Solving 5x + 2x2 = 51 Solving for variable 'x'. Reorder the terms: -51 + 5x + 2x2 = 51 + -51 Combine like terms: 51 + -51 = 0 -51 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -25.5 + 2.5x + x2 = 0 Move the constant term to the right: Add '25.5' to each side of the equation. -25.5 + 2.5x + 25.5 + x2 = 0 + 25.5 Reorder the terms: -25.5 + 25.5 + 2.5x + x2 = 0 + 25.5 Combine like terms: -25.5 + 25.5 = 0.0 0.0 + 2.5x + x2 = 0 + 25.5 2.5x + x2 = 0 + 25.5 Combine like terms: 0 + 25.5 = 25.5 2.5x + x2 = 25.5 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 25.5 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 25.5 + 1.5625 Combine like terms: 25.5 + 1.5625 = 27.0625 1.5625 + 2.5x + x2 = 27.0625 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 27.0625 Calculate the square root of the right side: 5.202163012 Break this problem into two subproblems by setting (x + 1.25) equal to 5.202163012 and -5.202163012.Subproblem 1
x + 1.25 = 5.202163012 Simplifying x + 1.25 = 5.202163012 Reorder the terms: 1.25 + x = 5.202163012 Solving 1.25 + x = 5.202163012 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 5.202163012 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 5.202163012 + -1.25 x = 5.202163012 + -1.25 Combine like terms: 5.202163012 + -1.25 = 3.952163012 x = 3.952163012 Simplifying x = 3.952163012Subproblem 2
x + 1.25 = -5.202163012 Simplifying x + 1.25 = -5.202163012 Reorder the terms: 1.25 + x = -5.202163012 Solving 1.25 + x = -5.202163012 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -5.202163012 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -5.202163012 + -1.25 x = -5.202163012 + -1.25 Combine like terms: -5.202163012 + -1.25 = -6.452163012 x = -6.452163012 Simplifying x = -6.452163012Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.952163012, -6.452163012}
| 4p-10=6p+4 | | 9a^2-27at+14t^2= | | 12m+5m-2m+7n= | | 7+x=6 | | (x-5)(x+5)=x*x-100x | | 3+5y-8+2y=1 | | t-10=7t-14 | | 5+4x=7x+9 | | -7h+1=-6+3u | | 15x+17= | | 5-(8-4x)=2(x-7) | | (W+7)-46=75 | | -3x+1=6x-4 | | 3-11x=n-13 | | 176m^2-539n^2= | | -9x-21=35-12 | | 11x=n-13 | | 3x+9=5x+6 | | 1/3(x-6)=x | | 2y-1+5y=0 | | 3x+9=5x-6 | | -.25x-4+.75x=.50+1 | | 7x+12=12x | | -4=-2.95 | | -3-2x=-4x-6 | | 5k^2-125=0 | | b(a+c)=1 | | 4-3x=-x+2 | | -x+x/4=21 | | -6x=3-2x | | 1-7x=5x | | a(b-c)=1 |