If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = x2 + -13x + 20 Reorder the terms: 0 = 20 + -13x + x2 Solving 0 = 20 + -13x + x2 Solving for variable 'x'. Combine like terms: 0 + -20 = -20 -20 + 13x + -1x2 = 20 + -13x + x2 + -20 + 13x + -1x2 Reorder the terms: -20 + 13x + -1x2 = 20 + -20 + -13x + 13x + x2 + -1x2 Combine like terms: 20 + -20 = 0 -20 + 13x + -1x2 = 0 + -13x + 13x + x2 + -1x2 -20 + 13x + -1x2 = -13x + 13x + x2 + -1x2 Combine like terms: -13x + 13x = 0 -20 + 13x + -1x2 = 0 + x2 + -1x2 -20 + 13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + 13x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 20 + -13x + x2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -13x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -13x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -13x + x2 = 0 + -20 -13x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -13x + x2 = -20 The x term is -13x. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13x + 42.25 + x2 = -20 + 42.25 Reorder the terms: 42.25 + -13x + x2 = -20 + 42.25 Combine like terms: -20 + 42.25 = 22.25 42.25 + -13x + x2 = 22.25 Factor a perfect square on the left side: (x + -6.5)(x + -6.5) = 22.25 Calculate the square root of the right side: 4.716990566 Break this problem into two subproblems by setting (x + -6.5) equal to 4.716990566 and -4.716990566.Subproblem 1
x + -6.5 = 4.716990566 Simplifying x + -6.5 = 4.716990566 Reorder the terms: -6.5 + x = 4.716990566 Solving -6.5 + x = 4.716990566 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + x = 4.716990566 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + x = 4.716990566 + 6.5 x = 4.716990566 + 6.5 Combine like terms: 4.716990566 + 6.5 = 11.216990566 x = 11.216990566 Simplifying x = 11.216990566Subproblem 2
x + -6.5 = -4.716990566 Simplifying x + -6.5 = -4.716990566 Reorder the terms: -6.5 + x = -4.716990566 Solving -6.5 + x = -4.716990566 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + x = -4.716990566 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + x = -4.716990566 + 6.5 x = -4.716990566 + 6.5 Combine like terms: -4.716990566 + 6.5 = 1.783009434 x = 1.783009434 Simplifying x = 1.783009434Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.216990566, 1.783009434}
| I=(400)(7)(5) | | 2x+-2=-5 | | fx=4x^2+24x-1 | | F(x)=x^2-13x+20 | | 140=28x | | 3(x+2)-(x+6)=5x-21 | | 16=b-12 | | 3x-[8-3(x-10)]=x+19 | | -6c=72 | | 3r=108 | | 10k-4=2k-20 | | 3(5-x)+6(x+4)=50 | | p+(-4)+2p=14 | | y^2=1600 | | 200m-125m+43650=45900-150m | | p+(-4)+2x=14 | | 48=r(16) | | 40-1.25(3)= | | x^2+14x+4=180 | | 2h+12=80 | | 4p+2(p-1)=18 | | 2x+20=100+8x | | .875x-.375=10 | | 11=a-3 | | 14x+21y+b=0 | | 6-2g=3g+6 | | 36=17+17+c | | (3y-58)+(2y+33)=180 | | 35=f+12 | | 10-2.7=x+9 | | 5x+10(100-x)= | | 6z-7-2z+3= |