40=(2x+3)(x+7)

Simple and best practice solution for 40=(2x+3)(x+7) 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 40=(2x+3)(x+7) equation: 


Simplifying
40 = (2x + 3)(x + 7)

Reorder the terms:
40 = (3 + 2x)(x + 7)

Reorder the terms:
40 = (3 + 2x)(7 + x)

Multiply (3 + 2x) * (7 + x)
40 = (3(7 + x) + 2x * (7 + x))
40 = ((7 * 3 + x * 3) + 2x * (7 + x))
40 = ((21 + 3x) + 2x * (7 + x))
40 = (21 + 3x + (7 * 2x + x * 2x))
40 = (21 + 3x + (14x + 2x2))

Combine like terms: 3x + 14x = 17x
40 = (21 + 17x + 2x2)

Solving
40 = 21 + 17x + 2x2

Solving for variable 'x'.

Combine like terms: 40 + -21 = 19
19 + -17x + -2x2 = 21 + 17x + 2x2 + -21 + -17x + -2x2

Reorder the terms:
19 + -17x + -2x2 = 21 + -21 + 17x + -17x + 2x2 + -2x2

Combine like terms: 21 + -21 = 0
19 + -17x + -2x2 = 0 + 17x + -17x + 2x2 + -2x2
19 + -17x + -2x2 = 17x + -17x + 2x2 + -2x2

Combine like terms: 17x + -17x = 0
19 + -17x + -2x2 = 0 + 2x2 + -2x2
19 + -17x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
19 + -17x + -2x2 = 0

Factor a trinomial.
(1 + -1x)(19 + 2x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(19 + 2x)' equal to zero and attempt to solve:

Simplifying
19 + 2x = 0

Solving
19 + 2x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 2x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 2x = 0 + -19
2x = 0 + -19

Combine like terms: 0 + -19 = -19
2x = -19

Divide each side by '2'.
x = -9.5

Simplifying
x = -9.5
Solution
x = {1, -9.5}

See similar equations:

| z^2+2z=c | | 3x-1=-34 | | 8x-6y+1=13 | | X(5x-4)=6 | | (X-5)(x^2-3x+2)=0 | | 5.4-6m=-6 | | 5k-6+k=3(4k-6) | | 7x/5x=1/5 | | D=5yards | | r-75=3.1 | | 3.14xsquared=314 | | 3(4+5s)-12+(-3s)= | | 2x+12=7x-13 | | 7y-4x=9 | | 5x^2-12x+1=-6 | | 10x-2x-12= | | 64t^3-25t=0 | | -1x-52=42 | | -4/7n=-8 | | x/-2=-20 | | 8/9-3/9= | | x+6=-12x+6 | | 2x(10)=6x^2 | | 18+y-9=60 | | 3v^2+6v-240= | | -6x+12y=-18 | | 7(r+2)=35 | | 2d+7=3d | | 8x-3=12+2x | | 24=2(y+6) | | 4=6x+3 | | Z-8.2=4.1 |

Equations solver categories