If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -20x2 + 100x + 180 Reorder the terms: 0 = 180 + 100x + -20x2 Solving 0 = 180 + 100x + -20x2 Solving for variable 'x'. Combine like terms: 0 + -180 = -180 -180 + -100x + 20x2 = 180 + 100x + -20x2 + -180 + -100x + 20x2 Reorder the terms: -180 + -100x + 20x2 = 180 + -180 + 100x + -100x + -20x2 + 20x2 Combine like terms: 180 + -180 = 0 -180 + -100x + 20x2 = 0 + 100x + -100x + -20x2 + 20x2 -180 + -100x + 20x2 = 100x + -100x + -20x2 + 20x2 Combine like terms: 100x + -100x = 0 -180 + -100x + 20x2 = 0 + -20x2 + 20x2 -180 + -100x + 20x2 = -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 -180 + -100x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(-9 + -5x + x2) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-9 + -5x + x2)' equal to zero and attempt to solve: Simplifying -9 + -5x + x2 = 0 Solving -9 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '9' to each side of the equation. -9 + -5x + 9 + x2 = 0 + 9 Reorder the terms: -9 + 9 + -5x + x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5x + x2 = 0 + 9 -5x + x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -5x + x2 = 9 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = 9 + 6.25 Reorder the terms: 6.25 + -5x + x2 = 9 + 6.25 Combine like terms: 9 + 6.25 = 15.25 6.25 + -5x + x2 = 15.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = 15.25 Calculate the square root of the right side: 3.905124838 Break this problem into two subproblems by setting (x + -2.5) equal to 3.905124838 and -3.905124838.Subproblem 1
x + -2.5 = 3.905124838 Simplifying x + -2.5 = 3.905124838 Reorder the terms: -2.5 + x = 3.905124838 Solving -2.5 + x = 3.905124838 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 3.905124838 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 3.905124838 + 2.5 x = 3.905124838 + 2.5 Combine like terms: 3.905124838 + 2.5 = 6.405124838 x = 6.405124838 Simplifying x = 6.405124838Subproblem 2
x + -2.5 = -3.905124838 Simplifying x + -2.5 = -3.905124838 Reorder the terms: -2.5 + x = -3.905124838 Solving -2.5 + x = -3.905124838 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -3.905124838 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -3.905124838 + 2.5 x = -3.905124838 + 2.5 Combine like terms: -3.905124838 + 2.5 = -1.405124838 x = -1.405124838 Simplifying x = -1.405124838Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.405124838, -1.405124838}Solution
x = {6.405124838, -1.405124838}
| 4x-u=1 | | -6+12=84 | | r^5-r^3+r^2-1=0 | | 2+6y=9 | | 9/10X-1/2=7 | | Cx+4x=13 | | -6(10+p)=-60 | | 7(x+5)+3(x+5)=6x-6 | | 10(x-12)=10 | | 169.00=34.00+1.50 | | -7x+7(-2x+4)=154 | | 3m^2=16-21 | | 7x+2+74+69=180 | | 9(9+x)=-18 | | ln(.2)-ln(1)= | | 4m=8+2m | | d+7d=80 | | 8-b=-8 | | 0.33=x/(6-x)^2 | | 3b-2/6=b-4/18 | | 2(7-6x)=9x+13 | | 4t+6=-18 | | 4x+cx=13 | | 2x+8+90+60=180 | | 3b-2=b-4 | | -n+3=-7 | | -7(7b+3)-5b=141 | | 3x=58.35 | | -4(x+3)+36=6+2x | | 20x+70+70=180 | | 52/20 | | (1-3x)(1+3x)=7x+1 |