If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (1 + r)(1 + r) = 21 Multiply (1 + r) * (1 + r) (1(1 + r) + r(1 + r)) = 21 ((1 * 1 + r * 1) + r(1 + r)) = 21 ((1 + 1r) + r(1 + r)) = 21 (1 + 1r + (1 * r + r * r)) = 21 (1 + 1r + (1r + r2)) = 21 Combine like terms: 1r + 1r = 2r (1 + 2r + r2) = 21 Solving 1 + 2r + r2 = 21 Solving for variable 'r'. Reorder the terms: 1 + -21 + 2r + r2 = 21 + -21 Combine like terms: 1 + -21 = -20 -20 + 2r + r2 = 21 + -21 Combine like terms: 21 + -21 = 0 -20 + 2r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '20' to each side of the equation. -20 + 2r + 20 + r2 = 0 + 20 Reorder the terms: -20 + 20 + 2r + r2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 2r + r2 = 0 + 20 2r + r2 = 0 + 20 Combine like terms: 0 + 20 = 20 2r + r2 = 20 The r term is 2r. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2r + 1 + r2 = 20 + 1 Reorder the terms: 1 + 2r + r2 = 20 + 1 Combine like terms: 20 + 1 = 21 1 + 2r + r2 = 21 Factor a perfect square on the left side: (r + 1)(r + 1) = 21 Calculate the square root of the right side: 4.582575695 Break this problem into two subproblems by setting (r + 1) equal to 4.582575695 and -4.582575695.Subproblem 1
r + 1 = 4.582575695 Simplifying r + 1 = 4.582575695 Reorder the terms: 1 + r = 4.582575695 Solving 1 + r = 4.582575695 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 4.582575695 + -1 Combine like terms: 1 + -1 = 0 0 + r = 4.582575695 + -1 r = 4.582575695 + -1 Combine like terms: 4.582575695 + -1 = 3.582575695 r = 3.582575695 Simplifying r = 3.582575695Subproblem 2
r + 1 = -4.582575695 Simplifying r + 1 = -4.582575695 Reorder the terms: 1 + r = -4.582575695 Solving 1 + r = -4.582575695 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = -4.582575695 + -1 Combine like terms: 1 + -1 = 0 0 + r = -4.582575695 + -1 r = -4.582575695 + -1 Combine like terms: -4.582575695 + -1 = -5.582575695 r = -5.582575695 Simplifying r = -5.582575695Solution
The solution to the problem is based on the solutions from the subproblems. r = {3.582575695, -5.582575695}
| 4x^2-19x+32=6x+7 | | y=33x+5 | | (x-50)+19=90 | | 69=3f | | x/4-8=x/6 | | 2x(5+h)=20 | | 9(x^2-2)=9 | | 2/3m-4-1/3m=1 | | 0.5+x=0 | | 4x-3(3x-3)=1 | | -6y+5=3y-11 | | .5(x)=0 | | 260=w^2+16w | | R/9=6 | | -7x^2-5x+18=0 | | -6-3(2x+8)=0 | | x^2-15x+16=-7x+1 | | 2y=-3(t+10) | | x^2-3x+6=4 | | 420+69=32x-35 | | y=1.5(500)+0 | | 5y-8=2y-11 | | 4x-18x=84 | | y=1.5(450)+0 | | -4n+3(2+4n)=-2 | | 14+8*m=14-3*m-5*m | | (2x+1)/(x+2)+3 | | 5+a=22 | | y=1.5(300)+0 | | y=1.5(200)+0 | | 2(x+5)+x=19 | | y=1.5(150)+0 |