(r+3)(r-4)=44

Simple and best practice solution for (r+3)(r-4)=44 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 (r+3)(r-4)=44 equation: 


Simplifying
(r + 3)(r + -4) = 44

Reorder the terms:
(3 + r)(r + -4) = 44

Reorder the terms:
(3 + r)(-4 + r) = 44

Multiply (3 + r) * (-4 + r)
(3(-4 + r) + r(-4 + r)) = 44
((-4 * 3 + r * 3) + r(-4 + r)) = 44
((-12 + 3r) + r(-4 + r)) = 44
(-12 + 3r + (-4 * r + r * r)) = 44
(-12 + 3r + (-4r + r2)) = 44

Combine like terms: 3r + -4r = -1r
(-12 + -1r + r2) = 44

Solving
-12 + -1r + r2 = 44

Solving for variable 'r'.

Reorder the terms:
-12 + -44 + -1r + r2 = 44 + -44

Combine like terms: -12 + -44 = -56
-56 + -1r + r2 = 44 + -44

Combine like terms: 44 + -44 = 0
-56 + -1r + r2 = 0

Factor a trinomial.
(-7 + -1r)(8 + -1r) = 0


Subproblem 1
Set the factor '(-7 + -1r)' equal to zero and attempt to solve:

Simplifying
-7 + -1r = 0

Solving
-7 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1r = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1r = 0 + 7
-1r = 0 + 7

Combine like terms: 0 + 7 = 7
-1r = 7

Divide each side by '-1'.
r = -7

Simplifying
r = -7

Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Solution
r = {-7, 8}

See similar equations:

| 2(x+5)=(x+15) | | (0-4)(5-1)=yGraph | | (0-4)(5-1)=y | | 10+22x=98 | | -t^2+4t+5=0 | | 2(x+3)=(x+9) | | (3w-11)w=42 | | 8x=2(6+3x) | | 2(x+3)=4x+1 | | (3m+2)(1m-4)= | | 2(5x-15)=40 | | (7+2w)w=99 | | -10=2x+3x | | 6(x+1)+3=2x+4(1+x) | | Y^2+36y=0 | | 2/3*-4+4 | | 3x=-25-2x | | 5/6-1/x=3x+8/6x | | 6x/5+6=30 | | 2x/5-8=12 | | 2(x+11)=9(x-3) | | -2x^2+12x+36=0 | | 94-x+2x=128 | | 8-2ln(x)=3 | | 8(y-2)/5=-3y | | -6x-2x=0 | | 3x=.5(2x+4) | | -4/5*3-5 | | 0.02(y-2)+0.18y=0.08y-0.01(10) | | 7+(-9)+(-3)= | | -3=2n+n | | -2v-v=9 |

Equations solver categories