If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 11x + 4 = 0 Reorder the terms: 4 + 11x + 4x2 = 0 Solving 4 + 11x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1 + 2.75x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 2.75x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 2.75x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2.75x + x2 = 0 + -1 2.75x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2.75x + x2 = -1 The x term is 2.75x. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75x + 1.890625 + x2 = -1 + 1.890625 Reorder the terms: 1.890625 + 2.75x + x2 = -1 + 1.890625 Combine like terms: -1 + 1.890625 = 0.890625 1.890625 + 2.75x + x2 = 0.890625 Factor a perfect square on the left side: (x + 1.375)(x + 1.375) = 0.890625 Calculate the square root of the right side: 0.943729304 Break this problem into two subproblems by setting (x + 1.375) equal to 0.943729304 and -0.943729304.Subproblem 1
x + 1.375 = 0.943729304 Simplifying x + 1.375 = 0.943729304 Reorder the terms: 1.375 + x = 0.943729304 Solving 1.375 + x = 0.943729304 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.375' to each side of the equation. 1.375 + -1.375 + x = 0.943729304 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + x = 0.943729304 + -1.375 x = 0.943729304 + -1.375 Combine like terms: 0.943729304 + -1.375 = -0.431270696 x = -0.431270696 Simplifying x = -0.431270696Subproblem 2
x + 1.375 = -0.943729304 Simplifying x + 1.375 = -0.943729304 Reorder the terms: 1.375 + x = -0.943729304 Solving 1.375 + x = -0.943729304 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.375' to each side of the equation. 1.375 + -1.375 + x = -0.943729304 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + x = -0.943729304 + -1.375 x = -0.943729304 + -1.375 Combine like terms: -0.943729304 + -1.375 = -2.318729304 x = -2.318729304 Simplifying x = -2.318729304Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.431270696, -2.318729304}
| 2t^2-87-90=0 | | 3.4x-2.16=1.36-5.4x | | -7x+2x-1=14 | | 12x=11x-27 | | 3.4x-2.16=1.3-5.4x | | 9a^2-3a-30=0 | | X^2+2x-53=8 | | bx=0 | | d-10=-25 | | x^2-4x=11 | | 5x+4=4x-1 | | 4x+13x=68 | | 5y-7=6y+2 | | 8x^2-30x+25=0 | | 264=.55x | | 10n=9n+31 | | 3x+21=-2+11 | | -x^2+7x-19=0 | | 8a+a-3ba= | | 198=.33x | | 3(x-8)+2(4x-1)=3 | | 14j^2+15j-9=0 | | 144=52a-4a^2 | | 21=.12x | | 7a-2a= | | 3x^2=-16x-16 | | n^3-81n=0 | | 100n^2-1=0 | | 4j^2+4c-15=0 | | 150=.15x | | 14j^2+4c-15=0 | | 4y^2-8y+16=0 |