If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + -3x + -11 = 0 Reorder the terms: -11 + -3x + 4x2 = 0 Solving -11 + -3x + 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'. -2.75 + -0.75x + x2 = 0 Move the constant term to the right: Add '2.75' to each side of the equation. -2.75 + -0.75x + 2.75 + x2 = 0 + 2.75 Reorder the terms: -2.75 + 2.75 + -0.75x + x2 = 0 + 2.75 Combine like terms: -2.75 + 2.75 = 0.00 0.00 + -0.75x + x2 = 0 + 2.75 -0.75x + x2 = 0 + 2.75 Combine like terms: 0 + 2.75 = 2.75 -0.75x + x2 = 2.75 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = 2.75 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = 2.75 + 0.140625 Combine like terms: 2.75 + 0.140625 = 2.890625 0.140625 + -0.75x + x2 = 2.890625 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = 2.890625 Calculate the square root of the right side: 1.700183814 Break this problem into two subproblems by setting (x + -0.375) equal to 1.700183814 and -1.700183814.Subproblem 1
x + -0.375 = 1.700183814 Simplifying x + -0.375 = 1.700183814 Reorder the terms: -0.375 + x = 1.700183814 Solving -0.375 + x = 1.700183814 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + x = 1.700183814 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + x = 1.700183814 + 0.375 x = 1.700183814 + 0.375 Combine like terms: 1.700183814 + 0.375 = 2.075183814 x = 2.075183814 Simplifying x = 2.075183814Subproblem 2
x + -0.375 = -1.700183814 Simplifying x + -0.375 = -1.700183814 Reorder the terms: -0.375 + x = -1.700183814 Solving -0.375 + x = -1.700183814 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + x = -1.700183814 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + x = -1.700183814 + 0.375 x = -1.700183814 + 0.375 Combine like terms: -1.700183814 + 0.375 = -1.325183814 x = -1.325183814 Simplifying x = -1.325183814Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.075183814, -1.325183814}
| 3x^2+4x-11=0 | | 3x^2+11=0 | | 4x-3-7(z+1)=6z | | 24x+6y=54 | | -3x-5(-4x-2)=112 | | 248=4(6-7n) | | a+y=p | | M^2-2=0 | | x-15+4x=30 | | -1+7=6b-8-5b | | 18x^2-6x-12=0 | | -4(t-1)+6t=4t-2 | | 18x^2+45x+7=0 | | r-n=h | | -x^2-7x-2=0 | | 7(7x-1)-2=49x-9 | | 7m^2-2=6 | | -9=-3(1+6b)-6 | | 4(1+2r)=-44 | | -(n+1)=-6 | | q+a=e | | 4(6p+3)=-60 | | -2(6x-5)-5=-7 | | 12x-9=32 | | xx=14 | | 4(y-1)=3(y+6) | | 12=m+5m | | 2+7x=42 | | 9=5n-5+2n | | 13y^2+2y-35=0 | | 4x-6x=2 | | 8(j+3)+24=16 |