If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -37x2 + 114x + 1 = 0 Reorder the terms: 1 + 114x + -37x2 = 0 Solving 1 + 114x + -37x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -37 the coefficient of the squared term: Divide each side by '-37'. -0.02702702703 + -3.081081081x + x2 = 0 Move the constant term to the right: Add '0.02702702703' to each side of the equation. -0.02702702703 + -3.081081081x + 0.02702702703 + x2 = 0 + 0.02702702703 Reorder the terms: -0.02702702703 + 0.02702702703 + -3.081081081x + x2 = 0 + 0.02702702703 Combine like terms: -0.02702702703 + 0.02702702703 = 0.00000000000 0.00000000000 + -3.081081081x + x2 = 0 + 0.02702702703 -3.081081081x + x2 = 0 + 0.02702702703 Combine like terms: 0 + 0.02702702703 = 0.02702702703 -3.081081081x + x2 = 0.02702702703 The x term is -3.081081081x. Take half its coefficient (-1.540540541). Square it (2.373265158) and add it to both sides. Add '2.373265158' to each side of the equation. -3.081081081x + 2.373265158 + x2 = 0.02702702703 + 2.373265158 Reorder the terms: 2.373265158 + -3.081081081x + x2 = 0.02702702703 + 2.373265158 Combine like terms: 0.02702702703 + 2.373265158 = 2.40029218503 2.373265158 + -3.081081081x + x2 = 2.40029218503 Factor a perfect square on the left side: (x + -1.540540541)(x + -1.540540541) = 2.40029218503 Calculate the square root of the right side: 1.549287638 Break this problem into two subproblems by setting (x + -1.540540541) equal to 1.549287638 and -1.549287638.Subproblem 1
x + -1.540540541 = 1.549287638 Simplifying x + -1.540540541 = 1.549287638 Reorder the terms: -1.540540541 + x = 1.549287638 Solving -1.540540541 + x = 1.549287638 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.540540541' to each side of the equation. -1.540540541 + 1.540540541 + x = 1.549287638 + 1.540540541 Combine like terms: -1.540540541 + 1.540540541 = 0.000000000 0.000000000 + x = 1.549287638 + 1.540540541 x = 1.549287638 + 1.540540541 Combine like terms: 1.549287638 + 1.540540541 = 3.089828179 x = 3.089828179 Simplifying x = 3.089828179Subproblem 2
x + -1.540540541 = -1.549287638 Simplifying x + -1.540540541 = -1.549287638 Reorder the terms: -1.540540541 + x = -1.549287638 Solving -1.540540541 + x = -1.549287638 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.540540541' to each side of the equation. -1.540540541 + 1.540540541 + x = -1.549287638 + 1.540540541 Combine like terms: -1.540540541 + 1.540540541 = 0.000000000 0.000000000 + x = -1.549287638 + 1.540540541 x = -1.549287638 + 1.540540541 Combine like terms: -1.549287638 + 1.540540541 = -0.008747097 x = -0.008747097 Simplifying x = -0.008747097Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.089828179, -0.008747097}
| 3n-9=4n | | (3x+4)(2x-1)=11 | | 7x=9+3+2 | | u+12/-4=5 | | 7=x+9+3+2 | | 0.04w=1.5 | | -k/5=7/5 | | f(x)=-7x-7 | | (2)=-2(2)-3 | | a+8/4=20 | | 3y-24+6y=18 | | 26=-2(b+2) | | 3x+5=8x+10 | | n+12=3n | | 26x=-5+27x | | x+x+5+4= | | 5m+9=3(m-5)7 | | 3p+4o=1p+1o | | 9+t=-36 | | 16x^2=24 | | 3(x+4)+4(3m)=90 | | X/2+1+3x=-9 | | (2)=4(2)-3 | | 7y/8-3y/5=11/2 | | 6d=0.456 | | 5c+45=60 | | -9n+7=3n+19 | | z+5=21 | | 4x+9=72+6 | | 3xy=9x | | 5/7-1/3 | | 5/8-1/4 |