If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16x2 + 55x + 6 = 0 Reorder the terms: 6 + 55x + -16x2 = 0 Solving 6 + 55x + -16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. -0.375 + -3.4375x + x2 = 0 Move the constant term to the right: Add '0.375' to each side of the equation. -0.375 + -3.4375x + 0.375 + x2 = 0 + 0.375 Reorder the terms: -0.375 + 0.375 + -3.4375x + x2 = 0 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + -3.4375x + x2 = 0 + 0.375 -3.4375x + x2 = 0 + 0.375 Combine like terms: 0 + 0.375 = 0.375 -3.4375x + x2 = 0.375 The x term is -3.4375x. Take half its coefficient (-1.71875). Square it (2.954101563) and add it to both sides. Add '2.954101563' to each side of the equation. -3.4375x + 2.954101563 + x2 = 0.375 + 2.954101563 Reorder the terms: 2.954101563 + -3.4375x + x2 = 0.375 + 2.954101563 Combine like terms: 0.375 + 2.954101563 = 3.329101563 2.954101563 + -3.4375x + x2 = 3.329101563 Factor a perfect square on the left side: (x + -1.71875)(x + -1.71875) = 3.329101563 Calculate the square root of the right side: 1.824582572 Break this problem into two subproblems by setting (x + -1.71875) equal to 1.824582572 and -1.824582572.Subproblem 1
x + -1.71875 = 1.824582572 Simplifying x + -1.71875 = 1.824582572 Reorder the terms: -1.71875 + x = 1.824582572 Solving -1.71875 + x = 1.824582572 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.71875' to each side of the equation. -1.71875 + 1.71875 + x = 1.824582572 + 1.71875 Combine like terms: -1.71875 + 1.71875 = 0.00000 0.00000 + x = 1.824582572 + 1.71875 x = 1.824582572 + 1.71875 Combine like terms: 1.824582572 + 1.71875 = 3.543332572 x = 3.543332572 Simplifying x = 3.543332572Subproblem 2
x + -1.71875 = -1.824582572 Simplifying x + -1.71875 = -1.824582572 Reorder the terms: -1.71875 + x = -1.824582572 Solving -1.71875 + x = -1.824582572 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.71875' to each side of the equation. -1.71875 + 1.71875 + x = -1.824582572 + 1.71875 Combine like terms: -1.71875 + 1.71875 = 0.00000 0.00000 + x = -1.824582572 + 1.71875 x = -1.824582572 + 1.71875 Combine like terms: -1.824582572 + 1.71875 = -0.105832572 x = -0.105832572 Simplifying x = -0.105832572Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.543332572, -0.105832572}
| 8-r=6 | | 33-a/11=34 | | 4m+0=5 | | 22-6x=10+5x | | 12=20y-10 | | -8x+48=-3x-15 | | x-3(1)=5 | | 6x-9-2-2x=x+9 | | 6(10+5x)=120 | | 9(x+5)+2(x+5)=6x-6 | | 3(1+7n)=-19-n | | 1.4a-12.4=5.6 | | 70-2x=34+18 | | 5c+13=73 | | 12b+14=7b-29 | | 7(2+3x)=203 | | 11470=1998+74h+54h | | 3y-18+4=-14 | | y=2(2x+1) | | 2x^2+(k+8)x+(k+24)=0 | | 12y=19 | | T=0.15x+35 | | 2x^2+8x=5x+35 | | 2y+8=2x | | 5(6x+10)=3350 | | 8-(x+5)=31 | | 3x-9=8x+4 | | 4(3x+1)=88 | | 4y+8=22 | | 6(4+x)=24 | | 1803516=a-483948 | | 2-3u=14 |