If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2r2 + 11r = 15 Reorder the terms: 11r + 2r2 = 15 Solving 11r + 2r2 = 15 Solving for variable 'r'. Reorder the terms: -15 + 11r + 2r2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 11r + 2r2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + 5.5r + r2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + 5.5r + 7.5 + r2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + 5.5r + r2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 5.5r + r2 = 0 + 7.5 5.5r + r2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 5.5r + r2 = 7.5 The r term is 5.5r. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5r + 7.5625 + r2 = 7.5 + 7.5625 Reorder the terms: 7.5625 + 5.5r + r2 = 7.5 + 7.5625 Combine like terms: 7.5 + 7.5625 = 15.0625 7.5625 + 5.5r + r2 = 15.0625 Factor a perfect square on the left side: (r + 2.75)(r + 2.75) = 15.0625 Calculate the square root of the right side: 3.881043674 Break this problem into two subproblems by setting (r + 2.75) equal to 3.881043674 and -3.881043674.Subproblem 1
r + 2.75 = 3.881043674 Simplifying r + 2.75 = 3.881043674 Reorder the terms: 2.75 + r = 3.881043674 Solving 2.75 + r = 3.881043674 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + r = 3.881043674 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + r = 3.881043674 + -2.75 r = 3.881043674 + -2.75 Combine like terms: 3.881043674 + -2.75 = 1.131043674 r = 1.131043674 Simplifying r = 1.131043674Subproblem 2
r + 2.75 = -3.881043674 Simplifying r + 2.75 = -3.881043674 Reorder the terms: 2.75 + r = -3.881043674 Solving 2.75 + r = -3.881043674 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + r = -3.881043674 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + r = -3.881043674 + -2.75 r = -3.881043674 + -2.75 Combine like terms: -3.881043674 + -2.75 = -6.631043674 r = -6.631043674 Simplifying r = -6.631043674Solution
The solution to the problem is based on the solutions from the subproblems. r = {1.131043674, -6.631043674}
| 2.5x+4.5x=21 | | .8=.57g | | 3.5x+2.5x=18 | | 12r-3s+r+11s= | | 3/5-7/6= | | 2r^2+1r=15 | | a^2-5a+46=0 | | -48-7x=9x-16 | | 7p-6-4p-1= | | 2x+4=13x | | -12x+124=-x-140 | | x+6y=16 | | -10=7x-3/8 | | -12x+65=-5x-61 | | -20-3x=-10-8x | | 10x+60=-161-7x | | 5-x=27 | | 365=5(8x+17) | | (5x-6)(x-1)(x+2)= | | 4(b^4+3)= | | 0.05p+0.09(1600-p)=65 | | 0.75(9b-27)=36 | | 2/3(9b-27=36 | | 5x+3y-10=180 | | 6x+10+x+y=180 | | t/2.5=4 | | x^2-0.6X+0.25=0 | | -6(p+9)=36 | | 180=-10(a-4) | | 8x+9y=111 | | 12=18z | | 4s^2+9= |