(0.6r-0.48)(0.05r+1)=0

Simple and best practice solution for (0.6r-0.48)(0.05r+1)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (0.6r-0.48)(0.05r+1)=0 equation:


Simplifying
(0.6r + -0.48)(0.05r + 1) = 0

Reorder the terms:
(-0.48 + 0.6r)(0.05r + 1) = 0

Reorder the terms:
(-0.48 + 0.6r)(1 + 0.05r) = 0

Multiply (-0.48 + 0.6r) * (1 + 0.05r)
(-0.48(1 + 0.05r) + 0.6r * (1 + 0.05r)) = 0
((1 * -0.48 + 0.05r * -0.48) + 0.6r * (1 + 0.05r)) = 0
((-0.48 + -0.024r) + 0.6r * (1 + 0.05r)) = 0
(-0.48 + -0.024r + (1 * 0.6r + 0.05r * 0.6r)) = 0
(-0.48 + -0.024r + (0.6r + 0.03r2)) = 0

Combine like terms: -0.024r + 0.6r = 0.576r
(-0.48 + 0.576r + 0.03r2) = 0

Solving
-0.48 + 0.576r + 0.03r2 = 0

Solving for variable 'r'.

Begin completing the square.  Divide all terms by
0.03 the coefficient of the squared term: 

Divide each side by '0.03'.
-16 + 19.2r + r2 = 0

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + 19.2r + 16 + r2 = 0 + 16

Reorder the terms:
-16 + 16 + 19.2r + r2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 19.2r + r2 = 0 + 16
19.2r + r2 = 0 + 16

Combine like terms: 0 + 16 = 16
19.2r + r2 = 16

The r term is 19.2r.  Take half its coefficient (9.6).
Square it (92.16) and add it to both sides.

Add '92.16' to each side of the equation.
19.2r + 92.16 + r2 = 16 + 92.16

Reorder the terms:
92.16 + 19.2r + r2 = 16 + 92.16

Combine like terms: 16 + 92.16 = 108.16
92.16 + 19.2r + r2 = 108.16

Factor a perfect square on the left side:
(r + 9.6)(r + 9.6) = 108.16

Calculate the square root of the right side: 10.4

Break this problem into two subproblems by setting 
(r + 9.6) equal to 10.4 and -10.4.

Subproblem 1

r + 9.6 = 10.4 Simplifying r + 9.6 = 10.4 Reorder the terms: 9.6 + r = 10.4 Solving 9.6 + r = 10.4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9.6' to each side of the equation. 9.6 + -9.6 + r = 10.4 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + r = 10.4 + -9.6 r = 10.4 + -9.6 Combine like terms: 10.4 + -9.6 = 0.8 r = 0.8 Simplifying r = 0.8

Subproblem 2

r + 9.6 = -10.4 Simplifying r + 9.6 = -10.4 Reorder the terms: 9.6 + r = -10.4 Solving 9.6 + r = -10.4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9.6' to each side of the equation. 9.6 + -9.6 + r = -10.4 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + r = -10.4 + -9.6 r = -10.4 + -9.6 Combine like terms: -10.4 + -9.6 = -20 r = -20 Simplifying r = -20

Solution

The solution to the problem is based on the solutions from the subproblems. r = {0.8, -20}

See similar equations:

| 4(x-7)=50 | | (3x+4y-1)dy+(2x+3y+1)dx=0 | | 2-5x-12x^2=0 | | (x-15)-(4x+12)=(6+2x)-(4-5x) | | 5X^2+15X+75=0 | | 9b(-5b-2)=-45b | | 5X^2+15X+75=4 | | y=4+kx | | y=kx+4 | | 9-3x2/3 | | -3x-3y=3-3y | | -5y=3x-5 | | 18+8x=30 | | 12-3c=-33 | | 12-3c=33 | | 25y^2-25y-36=0 | | -x/7-4=-7 | | (x-5)-(2x-4)=-8 | | x^4+x^2-6x+1=0 | | 15x+29(x-2)=470 | | 24x+7=158 | | 3p+y=60 | | 8x^2-32x+32=0 | | 16=4-2w | | 90-10u=40 | | (2v^2+3bt)(3v^2-bt)= | | (2u-bn)(4u-bn)= | | 4x+9y=3.80 | | (2t-ay)(t+2ay)= | | 15=3s-15 | | (x^2-4y)(2x^2+y)= | | -4y^2-28y+5=0 |

Equations solver categories