If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8r2 = r + 6 Reorder the terms: 8r2 = 6 + r Solving 8r2 = 6 + r Solving for variable 'r'. Reorder the terms: -6 + -1r + 8r2 = 6 + r + -6 + -1r Reorder the terms: -6 + -1r + 8r2 = 6 + -6 + r + -1r Combine like terms: 6 + -6 = 0 -6 + -1r + 8r2 = 0 + r + -1r -6 + -1r + 8r2 = r + -1r Combine like terms: r + -1r = 0 -6 + -1r + 8r2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -0.75 + -0.125r + r2 = 0 Move the constant term to the right: Add '0.75' to each side of the equation. -0.75 + -0.125r + 0.75 + r2 = 0 + 0.75 Reorder the terms: -0.75 + 0.75 + -0.125r + r2 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -0.125r + r2 = 0 + 0.75 -0.125r + r2 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 -0.125r + r2 = 0.75 The r term is -0.125r. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125r + 0.00390625 + r2 = 0.75 + 0.00390625 Reorder the terms: 0.00390625 + -0.125r + r2 = 0.75 + 0.00390625 Combine like terms: 0.75 + 0.00390625 = 0.75390625 0.00390625 + -0.125r + r2 = 0.75390625 Factor a perfect square on the left side: (r + -0.0625)(r + -0.0625) = 0.75390625 Calculate the square root of the right side: 0.868277749 Break this problem into two subproblems by setting (r + -0.0625) equal to 0.868277749 and -0.868277749.Subproblem 1
r + -0.0625 = 0.868277749 Simplifying r + -0.0625 = 0.868277749 Reorder the terms: -0.0625 + r = 0.868277749 Solving -0.0625 + r = 0.868277749 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.0625' to each side of the equation. -0.0625 + 0.0625 + r = 0.868277749 + 0.0625 Combine like terms: -0.0625 + 0.0625 = 0.0000 0.0000 + r = 0.868277749 + 0.0625 r = 0.868277749 + 0.0625 Combine like terms: 0.868277749 + 0.0625 = 0.930777749 r = 0.930777749 Simplifying r = 0.930777749Subproblem 2
r + -0.0625 = -0.868277749 Simplifying r + -0.0625 = -0.868277749 Reorder the terms: -0.0625 + r = -0.868277749 Solving -0.0625 + r = -0.868277749 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.0625' to each side of the equation. -0.0625 + 0.0625 + r = -0.868277749 + 0.0625 Combine like terms: -0.0625 + 0.0625 = 0.0000 0.0000 + r = -0.868277749 + 0.0625 r = -0.868277749 + 0.0625 Combine like terms: -0.868277749 + 0.0625 = -0.805777749 r = -0.805777749 Simplifying r = -0.805777749Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.930777749, -0.805777749}
| -5(u+3)=u-1+2(3u+1) | | 2(n+8)=40+6n | | -20=2(x+6) | | h=-16t^2+50+6 | | -6+-0.3333y=-4+-0.6666y | | -3(4u-6)+6u=3(u+2) | | x^2-6=-5x^2 | | 2n+16=12r+20 | | 5v+1-7(-2v-2)=3(v-1) | | 7-a=3a+1-3a | | y^2+2y-x+7=0 | | x/2+2=0 | | 9b-6=24+5b | | 9x+10=80 | | 9x+01=80 | | 6(x-6)-(-3x-3)=8x | | 3x+3+3x+3+6x+6= | | 6(x-3)-8=-4(-4x+5)-2x | | 2p^2-35=-5p^2+44p | | (x+1)(2x+1)=66 | | 4(x-1)+4x=13-2x | | 4xy+2x=5 | | 35x^2+34x-22=-1 | | 3p^2+20p-100=0 | | 15x^2+16x-16=0 | | 9x+11=80 | | m=-10m^2+21 | | 4m^2-24=10m | | x-366=-414 | | 9x-11=80 | | -51+180x=5-56x^2 | | 9*11=-80 |