If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4r2 + -1 = 4r Reorder the terms: -1 + 4r2 = 4r Solving -1 + 4r2 = 4r Solving for variable 'r'. Reorder the terms: -1 + -4r + 4r2 = 4r + -4r Combine like terms: 4r + -4r = 0 -1 + -4r + 4r2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.25 + -1r + r2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + -1r + 0.25 + r2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + -1r + r2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -1r + r2 = 0 + 0.25 -1r + r2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 -1r + r2 = 0.25 The r term is -1r. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1r + 0.25 + r2 = 0.25 + 0.25 Reorder the terms: 0.25 + -1r + r2 = 0.25 + 0.25 Combine like terms: 0.25 + 0.25 = 0.5 0.25 + -1r + r2 = 0.5 Factor a perfect square on the left side: (r + -0.5)(r + -0.5) = 0.5 Calculate the square root of the right side: 0.707106781 Break this problem into two subproblems by setting (r + -0.5) equal to 0.707106781 and -0.707106781.Subproblem 1
r + -0.5 = 0.707106781 Simplifying r + -0.5 = 0.707106781 Reorder the terms: -0.5 + r = 0.707106781 Solving -0.5 + r = 0.707106781 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + r = 0.707106781 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + r = 0.707106781 + 0.5 r = 0.707106781 + 0.5 Combine like terms: 0.707106781 + 0.5 = 1.207106781 r = 1.207106781 Simplifying r = 1.207106781Subproblem 2
r + -0.5 = -0.707106781 Simplifying r + -0.5 = -0.707106781 Reorder the terms: -0.5 + r = -0.707106781 Solving -0.5 + r = -0.707106781 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + r = -0.707106781 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + r = -0.707106781 + 0.5 r = -0.707106781 + 0.5 Combine like terms: -0.707106781 + 0.5 = -0.207106781 r = -0.207106781 Simplifying r = -0.207106781Solution
The solution to the problem is based on the solutions from the subproblems. r = {1.207106781, -0.207106781}
| 0=6x^2+x-7 | | -14+2a+6+1=7+4a | | 9x^2-2x+32=0 | | 3/10=b/7 | | 3xy+-2x+-4y-3=0 | | 8x+2=3x+24 | | 3b+5= | | 18+64/2 | | -18=4y | | 3xy+-2x+-4y+3=0 | | 3m^2+30m+72=0 | | -(36x^3/42x^2) | | 140+48=3x+13 | | -9=y/4 | | 14048=3x+13 | | 4*g^2-32*g=0 | | 3/10=/7 | | 1/4(-9.8-1.4)=x | | 15=m/2.5 | | 6x=6x-12 | | 1/4(-9.8-1.4) | | 1.8x+83=2.25x+92 | | m/4.5=2/5 | | 0=x^2-20x+51 | | 8(x-4)-2=6x+2 | | z/5+22=157 | | 2=4+(-14) | | -12+x=42 | | 6y^2+11/7y | | 16=5+x | | 2(x+2)=6x-10 | | 2=4+-4 |