If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6 = -0.026x2 + 0.526x + 5 Reorder the terms: 6 = 5 + 0.526x + -0.026x2 Solving 6 = 5 + 0.526x + -0.026x2 Solving for variable 'x'. Combine like terms: 6 + -5 = 1 1 + -0.526x + 0.026x2 = 5 + 0.526x + -0.026x2 + -5 + -0.526x + 0.026x2 Reorder the terms: 1 + -0.526x + 0.026x2 = 5 + -5 + 0.526x + -0.526x + -0.026x2 + 0.026x2 Combine like terms: 5 + -5 = 0 1 + -0.526x + 0.026x2 = 0 + 0.526x + -0.526x + -0.026x2 + 0.026x2 1 + -0.526x + 0.026x2 = 0.526x + -0.526x + -0.026x2 + 0.026x2 Combine like terms: 0.526x + -0.526x = 0.000 1 + -0.526x + 0.026x2 = 0.000 + -0.026x2 + 0.026x2 1 + -0.526x + 0.026x2 = -0.026x2 + 0.026x2 Combine like terms: -0.026x2 + 0.026x2 = 0.000 1 + -0.526x + 0.026x2 = 0.000 Begin completing the square. Divide all terms by 0.026 the coefficient of the squared term: Divide each side by '0.026'. 38.46153846 + -20.23076923x + x2 = 0 Move the constant term to the right: Add '-38.46153846' to each side of the equation. 38.46153846 + -20.23076923x + -38.46153846 + x2 = 0 + -38.46153846 Reorder the terms: 38.46153846 + -38.46153846 + -20.23076923x + x2 = 0 + -38.46153846 Combine like terms: 38.46153846 + -38.46153846 = 0.00000000 0.00000000 + -20.23076923x + x2 = 0 + -38.46153846 -20.23076923x + x2 = 0 + -38.46153846 Combine like terms: 0 + -38.46153846 = -38.46153846 -20.23076923x + x2 = -38.46153846 The x term is -20.23076923x. Take half its coefficient (-10.11538462). Square it (102.3210060) and add it to both sides. Add '102.3210060' to each side of the equation. -20.23076923x + 102.3210060 + x2 = -38.46153846 + 102.3210060 Reorder the terms: 102.3210060 + -20.23076923x + x2 = -38.46153846 + 102.3210060 Combine like terms: -38.46153846 + 102.3210060 = 63.85946754 102.3210060 + -20.23076923x + x2 = 63.85946754 Factor a perfect square on the left side: (x + -10.11538462)(x + -10.11538462) = 63.85946754 Calculate the square root of the right side: 7.991211894 Break this problem into two subproblems by setting (x + -10.11538462) equal to 7.991211894 and -7.991211894.Subproblem 1
x + -10.11538462 = 7.991211894 Simplifying x + -10.11538462 = 7.991211894 Reorder the terms: -10.11538462 + x = 7.991211894 Solving -10.11538462 + x = 7.991211894 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.11538462' to each side of the equation. -10.11538462 + 10.11538462 + x = 7.991211894 + 10.11538462 Combine like terms: -10.11538462 + 10.11538462 = 0.00000000 0.00000000 + x = 7.991211894 + 10.11538462 x = 7.991211894 + 10.11538462 Combine like terms: 7.991211894 + 10.11538462 = 18.106596514 x = 18.106596514 Simplifying x = 18.106596514Subproblem 2
x + -10.11538462 = -7.991211894 Simplifying x + -10.11538462 = -7.991211894 Reorder the terms: -10.11538462 + x = -7.991211894 Solving -10.11538462 + x = -7.991211894 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.11538462' to each side of the equation. -10.11538462 + 10.11538462 + x = -7.991211894 + 10.11538462 Combine like terms: -10.11538462 + 10.11538462 = 0.00000000 0.00000000 + x = -7.991211894 + 10.11538462 x = -7.991211894 + 10.11538462 Combine like terms: -7.991211894 + 10.11538462 = 2.124172726 x = 2.124172726 Simplifying x = 2.124172726Solution
The solution to the problem is based on the solutions from the subproblems. x = {18.106596514, 2.124172726}
| -2x+8=-5x+8 | | 5d=2dx-18 | | 8t^2-14t+3= | | 100=x+x+11 | | 3B+2.1=19.2 | | 8(x-4)=40 | | 4(x+4)+2=2 | | 5y-10=2x | | 154=x+2x+x+14 | | 6(5*40-4)-3(10*40+2)=10 | | (9y+28)+(x+5)=180 | | 4.6=1.2+1.7x | | 2.03=a/740 | | ln(x)+ln(x+6)=3 | | Logx=235 | | 6/7=-2x-8/7 | | 5(x-2)-2x=8 | | 5x^2-9=7x | | x^2+3x-1.5=0 | | ln(x+4)-ln(x-2)=lnx | | 1/4(x-7)== | | 2x+2x+5x-2-2-17=180 | | 9x+5=5-(2x-8) | | -12/-12 | | 85*40-(5-9*40)*9=3*40-5 | | (9x^2+6x+3)(5x+2)= | | 24x+54=180 | | 24x=54 | | -12/5/-6 | | 5x+2y-5z=-34 | | 5(a+3)-9=-4(9-6)+1 | | -6(x-1)=-5(x+2) |