x(30x)=39x+9

Simple and best practice solution for x(30x)=39x+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 x(30x)=39x+9 equation:


Simplifying
x(30x) = 39x + 9

Remove parenthesis around (30x)
x * 30x = 39x + 9

Reorder the terms for easier multiplication:
30x * x = 39x + 9

Multiply x * x
30x2 = 39x + 9

Reorder the terms:
30x2 = 9 + 39x

Solving
30x2 = 9 + 39x

Solving for variable 'x'.

Reorder the terms:
-9 + -39x + 30x2 = 9 + 39x + -9 + -39x

Reorder the terms:
-9 + -39x + 30x2 = 9 + -9 + 39x + -39x

Combine like terms: 9 + -9 = 0
-9 + -39x + 30x2 = 0 + 39x + -39x
-9 + -39x + 30x2 = 39x + -39x

Combine like terms: 39x + -39x = 0
-9 + -39x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + -13x + 10x2) = 0

Factor a trinomial.
3((-1 + -5x)(3 + -2x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-0.2, 1.5}

See similar equations:

| 1.666666667x-1=4+.666666x | | (6x^2+5)-(-4y^2+5)= | | 4=log^6(x) | | x(30X)=39+9 | | 5-10=x-18 | | 4x-9=x-5 | | 20x^3-6x-2=0 | | 2x^2+14x+20= | | 11x+80=0 | | -52=8+10z | | 2x(3-4x)=10 | | 6(1-2a)+9a=-9 | | Y=20x^3-6x-2 | | 5ln(x+2)=8 | | 11x+77=0 | | 63-11=n | | 2u^3+5u^2+14u+35= | | 21x+28=2x-6-20 | | 7x+98=0 | | 7x-91=0 | | x-x^1/2-6=0 | | 5m^2-5n^2=0 | | 2kx+7=15 | | Pf-qx=z | | 3(x-2)(x-2)+4=0 | | 20x+7y=19 | | 3.4x+6.3=1.7z+47.1 | | 4x(20+2)-(15-7)= | | (P3/2)^-2 | | px-qx=z | | (X+3)+(2x+3)=33 | | 6n+n+14=10 |

Equations solver categories