If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5r2 + 24r + 5 = 0 Reorder the terms: 5 + 24r + 5r2 = 0 Solving 5 + 24r + 5r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + 4.8r + r2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 4.8r + -1 + r2 = 0 + -1 Reorder the terms: 1 + -1 + 4.8r + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4.8r + r2 = 0 + -1 4.8r + r2 = 0 + -1 Combine like terms: 0 + -1 = -1 4.8r + r2 = -1 The r term is 4.8r. Take half its coefficient (2.4). Square it (5.76) and add it to both sides. Add '5.76' to each side of the equation. 4.8r + 5.76 + r2 = -1 + 5.76 Reorder the terms: 5.76 + 4.8r + r2 = -1 + 5.76 Combine like terms: -1 + 5.76 = 4.76 5.76 + 4.8r + r2 = 4.76 Factor a perfect square on the left side: (r + 2.4)(r + 2.4) = 4.76 Calculate the square root of the right side: 2.181742423 Break this problem into two subproblems by setting (r + 2.4) equal to 2.181742423 and -2.181742423.Subproblem 1
r + 2.4 = 2.181742423 Simplifying r + 2.4 = 2.181742423 Reorder the terms: 2.4 + r = 2.181742423 Solving 2.4 + r = 2.181742423 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + r = 2.181742423 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + r = 2.181742423 + -2.4 r = 2.181742423 + -2.4 Combine like terms: 2.181742423 + -2.4 = -0.218257577 r = -0.218257577 Simplifying r = -0.218257577Subproblem 2
r + 2.4 = -2.181742423 Simplifying r + 2.4 = -2.181742423 Reorder the terms: 2.4 + r = -2.181742423 Solving 2.4 + r = -2.181742423 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + r = -2.181742423 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + r = -2.181742423 + -2.4 r = -2.181742423 + -2.4 Combine like terms: -2.181742423 + -2.4 = -4.581742423 r = -4.581742423 Simplifying r = -4.581742423Solution
The solution to the problem is based on the solutions from the subproblems. r = {-0.218257577, -4.581742423}
| -10=4v+6 | | 36=2y+2(y+6) | | -3b+8-5d=18 | | 22(3x-6)= | | 32=9(5b-7) | | 8m^2+10m+5=0 | | 3p-2=54 | | 9x-5x+2x=33-13+22 | | 8(1-3k)=-26 | | 2x-25=5x+17 | | 2(x+1)=3(x-3) | | 22=6v+7(v-8) | | 5(8h-6)=20 | | -6+6p=9(5p-18) | | 5x+8-7(x+1)=6x+4 | | 57=7+5x | | -14=5u+2(u+7) | | 4(X-3)=2x+13 | | 2+6r=11-3r | | -8=2-5v | | 22x^8y^2+11xy= | | -2+3(1-8f)=21 | | 621.72=6.28r^2+6.28r(18.1) | | 17+11b=-5(-4b+20) | | 16y= | | 14=-2(u+1) | | 3(2(0.3)-5)+31=14 | | 5g-10-12=15g+8(-2g+10) | | 4(5x+2)=10(2x+1) | | 10x-41=6x-5 | | 3x-2(5-4(2x-(1-x)))=36 | | 41=4v+1 |