(3x+4)(3x+4)-81=0

Simple and best practice solution for (3x+4)(3x+4)-81=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 (3x+4)(3x+4)-81=0 equation: 


Simplifying
(3x + 4)(3x + 4) + -81 = 0

Reorder the terms:
(4 + 3x)(3x + 4) + -81 = 0

Reorder the terms:
(4 + 3x)(4 + 3x) + -81 = 0

Multiply (4 + 3x) * (4 + 3x)
(4(4 + 3x) + 3x * (4 + 3x)) + -81 = 0
((4 * 4 + 3x * 4) + 3x * (4 + 3x)) + -81 = 0
((16 + 12x) + 3x * (4 + 3x)) + -81 = 0
(16 + 12x + (4 * 3x + 3x * 3x)) + -81 = 0
(16 + 12x + (12x + 9x2)) + -81 = 0

Combine like terms: 12x + 12x = 24x
(16 + 24x + 9x2) + -81 = 0

Reorder the terms:
16 + -81 + 24x + 9x2 = 0

Combine like terms: 16 + -81 = -65
-65 + 24x + 9x2 = 0

Solving
-65 + 24x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -3x)(5 + -3x) = 0


Subproblem 1
Set the factor '(-13 + -3x)' equal to zero and attempt to solve:

Simplifying
-13 + -3x = 0

Solving
-13 + -3x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -3x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 0 + 13
-3x = 0 + 13

Combine like terms: 0 + 13 = 13
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-4.333333333, 1.666666667}

See similar equations:

| 7x+2-5x=-2 | | -2x=-2+1 | | 7+3b=-1-5b | | x+5+2x=-4 | | 4(5x-4)=20x | | 7x-5x+1=6x-4x+8 | | 6y^2-4y=c | | -4-2m+6=2 | | 8x-5y=-33 | | -8p-8p=0 | | 3n+8=30 | | D(ln8x)/Dc | | (x+5)-3(X+5)(x+5)=0 | | -6x+8x=16 | | s^4+2s^2-63=0 | | 3x-9=5(x-2)+7 | | -6-8m-3m=-6 | | 3b+3+2b=-22 | | 2x+4=10x-2 | | s^2+5sh-36h^2=0 | | d/dx(ln3x) | | (x-7)-10=12-4x | | X/.8=7.2 | | 5x-3-7x=-15 | | 18-11r+r^2=0 | | 3(x-17)+2=35-5x | | 2v-6v=-16 | | 8y=16+4x | | 5x(2)+10x= | | 6+4n+7=1 | | -3b+2n=-1 | | (2x-3)(x+1)+(2x-3)(3x-4)=0 |

Equations solver categories