If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4r2 + -33r + 64 = 0 Reorder the terms: 64 + -33r + 4r2 = 0 Solving 64 + -33r + 4r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 16 + -8.25r + r2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -8.25r + -16 + r2 = 0 + -16 Reorder the terms: 16 + -16 + -8.25r + r2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8.25r + r2 = 0 + -16 -8.25r + r2 = 0 + -16 Combine like terms: 0 + -16 = -16 -8.25r + r2 = -16 The r term is -8.25r. Take half its coefficient (-4.125). Square it (17.015625) and add it to both sides. Add '17.015625' to each side of the equation. -8.25r + 17.015625 + r2 = -16 + 17.015625 Reorder the terms: 17.015625 + -8.25r + r2 = -16 + 17.015625 Combine like terms: -16 + 17.015625 = 1.015625 17.015625 + -8.25r + r2 = 1.015625 Factor a perfect square on the left side: (r + -4.125)(r + -4.125) = 1.015625 Calculate the square root of the right side: 1.007782219 Break this problem into two subproblems by setting (r + -4.125) equal to 1.007782219 and -1.007782219.Subproblem 1
r + -4.125 = 1.007782219 Simplifying r + -4.125 = 1.007782219 Reorder the terms: -4.125 + r = 1.007782219 Solving -4.125 + r = 1.007782219 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4.125' to each side of the equation. -4.125 + 4.125 + r = 1.007782219 + 4.125 Combine like terms: -4.125 + 4.125 = 0.000 0.000 + r = 1.007782219 + 4.125 r = 1.007782219 + 4.125 Combine like terms: 1.007782219 + 4.125 = 5.132782219 r = 5.132782219 Simplifying r = 5.132782219Subproblem 2
r + -4.125 = -1.007782219 Simplifying r + -4.125 = -1.007782219 Reorder the terms: -4.125 + r = -1.007782219 Solving -4.125 + r = -1.007782219 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4.125' to each side of the equation. -4.125 + 4.125 + r = -1.007782219 + 4.125 Combine like terms: -4.125 + 4.125 = 0.000 0.000 + r = -1.007782219 + 4.125 r = -1.007782219 + 4.125 Combine like terms: -1.007782219 + 4.125 = 3.117217781 r = 3.117217781 Simplifying r = 3.117217781Solution
The solution to the problem is based on the solutions from the subproblems. r = {5.132782219, 3.117217781}
| 19x+8cosx=2 | | -14-7y=42 | | 0.5x-1.4=2.1 | | 94f^2-24f=0 | | 40+x-10+40=180 | | (x-0)/(1000-0) | | 3a-7a=4y-9(-4) | | 5(0)-y=8 | | 1500=-3x^2+630x | | (x-1000)/(2000-1000) | | 14x+7=49 | | 3/4-z/3=1/4 | | 7x+-1=-1 | | 80x^4+76x^3-220x^2=0 | | 1/3x8x11/6 | | 16=7k+k^2 | | 0=-16t^2+92t | | 100x^2+16x=0 | | 9x+12=6(x+5) | | 7+6n=-8n-13 | | 40w^2-49w=0 | | 2+3y= | | 2(9x-1)=99-7(3x-4x) | | 6(4x+2)=-84 | | 3(5w)= | | -4x+16y=68 | | 30x=21 | | x+1-x-2=x+3-x-1 | | 5x^5/2=4 | | X-2+X=90 | | 6x-4=54 | | (2-x)/(7x-14) |