7x(x+9)=9x+81

Simple and best practice solution for 7x(x+9)=9x+81 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 7x(x+9)=9x+81 equation: 


Simplifying
7x(x + 9) = 9x + 81

Reorder the terms:
7x(9 + x) = 9x + 81
(9 * 7x + x * 7x) = 9x + 81
(63x + 7x2) = 9x + 81

Reorder the terms:
63x + 7x2 = 81 + 9x

Solving
63x + 7x2 = 81 + 9x

Solving for variable 'x'.

Reorder the terms:
-81 + 63x + -9x + 7x2 = 81 + 9x + -81 + -9x

Combine like terms: 63x + -9x = 54x
-81 + 54x + 7x2 = 81 + 9x + -81 + -9x

Reorder the terms:
-81 + 54x + 7x2 = 81 + -81 + 9x + -9x

Combine like terms: 81 + -81 = 0
-81 + 54x + 7x2 = 0 + 9x + -9x
-81 + 54x + 7x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-81 + 54x + 7x2 = 0

Factor a trinomial.
(-9 + -1x)(9 + -7x) = 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 '(9 + -7x)' equal to zero and attempt to solve:

Simplifying
9 + -7x = 0

Solving
9 + -7x = 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 + -7x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = 0 + -9
-7x = 0 + -9

Combine like terms: 0 + -9 = -9
-7x = -9

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286
Solution
x = {-9, 1.285714286}

See similar equations:

| (2x)-18=4 | | 4x=-22+6x | | -7=x+30 | | 7u=8u+30 | | 5(3U-4)/6 | | 13+8x-4=5x+2 | | -9=-6p+13+7p | | https://es.khanacademy.org/math/algebra/quadratics/quadratics-square-root/e/solving_quadratics_by_taking_the_square_root | | 3y+7x=15 | | (2x)+8=6 | | 9/l=3/9 | | -4(2x-3)+6x=3(-2x-7)+4 | | -10+11x=7x+10 | | -130=-7+3(8n) | | 4y=10y-12 | | 100=-5x/6-50 | | 6(c+7)= | | 5(r-6)=-25 | | s-16s-15s= | | 3t-12=-9 | | 4g+11=3g-4 | | 5d+9=19 | | 2x+6x+18=0 | | 13+4x=51 | | 19x/8 | | 5=4cos(3x)+9 | | -13+4x=-51 | | 19=x/7 | | yz-x= | | ln(2/x)=1.5 | | 8x+77=49 | | X+1.4=2x+0.1 |

Equations solver categories