If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + -114x + 1 = 0 Reorder the terms: 1 + -114x + 3x2 = 0 Solving 1 + -114x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + -38x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -38x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -38x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -38x + x2 = 0 + -0.3333333333 -38x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -38x + x2 = -0.3333333333 The x term is -38x. Take half its coefficient (-19). Square it (361) and add it to both sides. Add '361' to each side of the equation. -38x + 361 + x2 = -0.3333333333 + 361 Reorder the terms: 361 + -38x + x2 = -0.3333333333 + 361 Combine like terms: -0.3333333333 + 361 = 360.6666666667 361 + -38x + x2 = 360.6666666667 Factor a perfect square on the left side: (x + -19)(x + -19) = 360.6666666667 Calculate the square root of the right side: 18.991226044 Break this problem into two subproblems by setting (x + -19) equal to 18.991226044 and -18.991226044.Subproblem 1
x + -19 = 18.991226044 Simplifying x + -19 = 18.991226044 Reorder the terms: -19 + x = 18.991226044 Solving -19 + x = 18.991226044 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + x = 18.991226044 + 19 Combine like terms: -19 + 19 = 0 0 + x = 18.991226044 + 19 x = 18.991226044 + 19 Combine like terms: 18.991226044 + 19 = 37.991226044 x = 37.991226044 Simplifying x = 37.991226044Subproblem 2
x + -19 = -18.991226044 Simplifying x + -19 = -18.991226044 Reorder the terms: -19 + x = -18.991226044 Solving -19 + x = -18.991226044 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + x = -18.991226044 + 19 Combine like terms: -19 + 19 = 0 0 + x = -18.991226044 + 19 x = -18.991226044 + 19 Combine like terms: -18.991226044 + 19 = 0.008773956 x = 0.008773956 Simplifying x = 0.008773956Solution
The solution to the problem is based on the solutions from the subproblems. x = {37.991226044, 0.008773956}
| x^2+10x+169=0 | | -e^2+4f^2= | | (5m-3)(m+2)=(4m+7)(m+1) | | 4d+2e-d+3e= | | 5-12x+14=11-15x+18 | | E=7.94x^2+33.2x+2190 | | 3y-2x=23 | | 3y-2x=32 | | -2-(-3+-3)= | | -6+-3*-6= | | 10c+2=8c+3 | | 10+6=15+6x | | 0.06x+0.08y=1380 | | g^2+12g+9=-26 | | x+2x-10=7-10x-15 | | -6-(-2+6)= | | -6-12x=18x | | 10+5(8+6x)=2-18x | | 32=10x-18 | | 4(5t-6)=30t+7 | | 3m+2n=6findm | | 7m+5-2m-8= | | 5x-2y-17z=-4 | | 10+3(5-4x)=19-10x | | 3x(2x+2)=4x+6 | | 30x-9x=21x-10.5x | | 14-21x-12+15x=-1+x | | 26-6x=-16 | | 9x-30x=x | | 9x-30=x | | -30=x | | 30x-9=x |