If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 3x = 100 Reorder the terms: 3x + 2x2 = 100 Solving 3x + 2x2 = 100 Solving for variable 'x'. Reorder the terms: -100 + 3x + 2x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -50 + 1.5x + x2 = 0 Move the constant term to the right: Add '50' to each side of the equation. -50 + 1.5x + 50 + x2 = 0 + 50 Reorder the terms: -50 + 50 + 1.5x + x2 = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 1.5x + x2 = 0 + 50 1.5x + x2 = 0 + 50 Combine like terms: 0 + 50 = 50 1.5x + x2 = 50 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 50 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 50 + 0.5625 Combine like terms: 50 + 0.5625 = 50.5625 0.5625 + 1.5x + x2 = 50.5625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 50.5625 Calculate the square root of the right side: 7.110731327 Break this problem into two subproblems by setting (x + 0.75) equal to 7.110731327 and -7.110731327.Subproblem 1
x + 0.75 = 7.110731327 Simplifying x + 0.75 = 7.110731327 Reorder the terms: 0.75 + x = 7.110731327 Solving 0.75 + x = 7.110731327 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 7.110731327 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 7.110731327 + -0.75 x = 7.110731327 + -0.75 Combine like terms: 7.110731327 + -0.75 = 6.360731327 x = 6.360731327 Simplifying x = 6.360731327Subproblem 2
x + 0.75 = -7.110731327 Simplifying x + 0.75 = -7.110731327 Reorder the terms: 0.75 + x = -7.110731327 Solving 0.75 + x = -7.110731327 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -7.110731327 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -7.110731327 + -0.75 x = -7.110731327 + -0.75 Combine like terms: -7.110731327 + -0.75 = -7.860731327 x = -7.860731327 Simplifying x = -7.860731327Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.360731327, -7.860731327}
| 3w^2-30w+75=0 | | 0.05=3.14r^2 | | 1-16y^2= | | x^2-13x-20=0 | | -2n(2n+7)= | | 6(x-2)=9(x-7) | | 9x+12=2x+215 | | 1/3+4=x | | 1-2/-7-3= | | 2(4k+4)-18= | | -1*3c+4=7 | | 27-24x-12x+24x+32=11 | | x^3-9x^2+5x-45=0 | | 4(3t-5)-2(4-6t)= | | 1*3=x | | 1*3=x | | 3(c+3)-2=2(c+6)+2 | | -x+5=-12 | | x+4+=x+4 | | 0=16t^2-1150 | | 0=16t^2+1150 | | 2x-5+3x=36 | | 4a=-4 | | [-12]-[11-14]= | | -18x+4=36 | | 8x+95x=6 | | (3,-2)(-7,1)= | | 7(n-2)=21 | | 120/x=-7 | | 2x^2+7x-9x=0 | | 1/5x-1-4/5x-13 | | 0=5x^2-19x-30 |