4x(x+9)=(3x+7)(x+9)

Simple and best practice solution for 4x(x+9)=(3x+7)(x+9) 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 4x(x+9)=(3x+7)(x+9) equation: 


Simplifying
4x(x + 9) = (3x + 7)(x + 9)

Reorder the terms:
4x(9 + x) = (3x + 7)(x + 9)
(9 * 4x + x * 4x) = (3x + 7)(x + 9)
(36x + 4x2) = (3x + 7)(x + 9)

Reorder the terms:
36x + 4x2 = (7 + 3x)(x + 9)

Reorder the terms:
36x + 4x2 = (7 + 3x)(9 + x)

Multiply (7 + 3x) * (9 + x)
36x + 4x2 = (7(9 + x) + 3x * (9 + x))
36x + 4x2 = ((9 * 7 + x * 7) + 3x * (9 + x))
36x + 4x2 = ((63 + 7x) + 3x * (9 + x))
36x + 4x2 = (63 + 7x + (9 * 3x + x * 3x))
36x + 4x2 = (63 + 7x + (27x + 3x2))

Combine like terms: 7x + 27x = 34x
36x + 4x2 = (63 + 34x + 3x2)

Solving
36x + 4x2 = 63 + 34x + 3x2

Solving for variable 'x'.

Reorder the terms:
-63 + 36x + -34x + 4x2 + -3x2 = 63 + 34x + 3x2 + -63 + -34x + -3x2

Combine like terms: 36x + -34x = 2x
-63 + 2x + 4x2 + -3x2 = 63 + 34x + 3x2 + -63 + -34x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
-63 + 2x + 1x2 = 63 + 34x + 3x2 + -63 + -34x + -3x2

Reorder the terms:
-63 + 2x + 1x2 = 63 + -63 + 34x + -34x + 3x2 + -3x2

Combine like terms: 63 + -63 = 0
-63 + 2x + 1x2 = 0 + 34x + -34x + 3x2 + -3x2
-63 + 2x + 1x2 = 34x + -34x + 3x2 + -3x2

Combine like terms: 34x + -34x = 0
-63 + 2x + 1x2 = 0 + 3x2 + -3x2
-63 + 2x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-63 + 2x + 1x2 = 0

Factor a trinomial.
(-9 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

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

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

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

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

Simplifying
x = 7
Solution
x = {-9, 7}

See similar equations:

| 18n^2-186n+336=0 | | -4x+7(-2)=-2 | | 2ln(x)=12 | | 0=50-(1.3xD) | | -x^2+4*(-1)*12=0 | | 4(2x+4)=3(3x-9) | | 40oz=xkg | | tg(2x)*tgx=1 | | 240-(24/5x)=15 | | Y-3/x2 | | 30mi=xkm | | 6p+12=54 | | -7(1-3v)=-5v+19 | | (x-1)+5=100 | | 30mi/h=xkm/h | | 4l=xqt | | 6-r=-1+7(1-5r) | | 3in=xcm | | z^4+(15+7i)z^2+8=0 | | 14x+5=9x+30 | | 3x^3+5x^2-36x-48=0 | | cos8pi/12 | | 22-3x=-5(1+x)-7x | | 16=a^2 | | 5x+4x-14=70-5x | | y=172(1+0.3)t | | (3x-y)-(6x+1)=-3x-2 | | 2/3x-3=-1/4x-1 | | 6x+15(-1)=-45 | | 6a+4a=10 | | 5x+4x-14=70 | | 4x+2-6x=24 |

Equations solver categories