If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying r2 + 8r + -90 = 5 Reorder the terms: -90 + 8r + r2 = 5 Solving -90 + 8r + r2 = 5 Solving for variable 'r'. Reorder the terms: -90 + -5 + 8r + r2 = 5 + -5 Combine like terms: -90 + -5 = -95 -95 + 8r + r2 = 5 + -5 Combine like terms: 5 + -5 = 0 -95 + 8r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '95' to each side of the equation. -95 + 8r + 95 + r2 = 0 + 95 Reorder the terms: -95 + 95 + 8r + r2 = 0 + 95 Combine like terms: -95 + 95 = 0 0 + 8r + r2 = 0 + 95 8r + r2 = 0 + 95 Combine like terms: 0 + 95 = 95 8r + r2 = 95 The r term is 8r. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8r + 16 + r2 = 95 + 16 Reorder the terms: 16 + 8r + r2 = 95 + 16 Combine like terms: 95 + 16 = 111 16 + 8r + r2 = 111 Factor a perfect square on the left side: (r + 4)(r + 4) = 111 Calculate the square root of the right side: 10.535653753 Break this problem into two subproblems by setting (r + 4) equal to 10.535653753 and -10.535653753.Subproblem 1
r + 4 = 10.535653753 Simplifying r + 4 = 10.535653753 Reorder the terms: 4 + r = 10.535653753 Solving 4 + r = 10.535653753 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 10.535653753 + -4 Combine like terms: 4 + -4 = 0 0 + r = 10.535653753 + -4 r = 10.535653753 + -4 Combine like terms: 10.535653753 + -4 = 6.535653753 r = 6.535653753 Simplifying r = 6.535653753Subproblem 2
r + 4 = -10.535653753 Simplifying r + 4 = -10.535653753 Reorder the terms: 4 + r = -10.535653753 Solving 4 + r = -10.535653753 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = -10.535653753 + -4 Combine like terms: 4 + -4 = 0 0 + r = -10.535653753 + -4 r = -10.535653753 + -4 Combine like terms: -10.535653753 + -4 = -14.535653753 r = -14.535653753 Simplifying r = -14.535653753Solution
The solution to the problem is based on the solutions from the subproblems. r = {6.535653753, -14.535653753}
| -6t-68=0 | | 8+x/2=14 | | 15-35/7*2+3*4 | | 8-(5u-3)+2u=15(u+15)+2 | | 3680=23000(0.04)(x) | | r^2+8-90=5 | | 11-4v=-8 | | 4(T-4)+4T=4(2T+4)-10 | | 7(6-20)=(-3a+1) | | 0.16d+0.6=0.25d-0.50 | | 2.8x-1.45=7.05 | | 48=6(x) | | 5(1-a)=10 | | 6(x-2)-8x=-20 | | 4x-3y=29 | | 3a^2-5a+6=0 | | -5x+1=36 | | 2(4d+1)=14 | | -8x-3=0 | | x^2-5x-38=0 | | 42=10+13+x | | 5-3(a-2)=7+a | | 9y^2+9y=4 | | -7x-12=17x | | 3w+6z=36 | | -(5y+3)-(-4-6)=-2 | | Y=3+y | | 2x-4=7x+11 | | 0.50x+0.30(40)=0.60(x+40) | | x/-5-6=-2 | | -74+12x=-3+106 | | 2/5-1/5 |