3x(3x+4)-10=-x+2(2x+9)

Simple and best practice solution for 3x(3x+4)-10=-x+2(2x+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 3x(3x+4)-10=-x+2(2x+9) equation: 


Simplifying
3x(3x + 4) + -10 = -1x + 2(2x + 9)

Reorder the terms:
3x(4 + 3x) + -10 = -1x + 2(2x + 9)
(4 * 3x + 3x * 3x) + -10 = -1x + 2(2x + 9)
(12x + 9x2) + -10 = -1x + 2(2x + 9)

Reorder the terms:
-10 + 12x + 9x2 = -1x + 2(2x + 9)

Reorder the terms:
-10 + 12x + 9x2 = -1x + 2(9 + 2x)
-10 + 12x + 9x2 = -1x + (9 * 2 + 2x * 2)
-10 + 12x + 9x2 = -1x + (18 + 4x)

Reorder the terms:
-10 + 12x + 9x2 = 18 + -1x + 4x

Combine like terms: -1x + 4x = 3x
-10 + 12x + 9x2 = 18 + 3x

Solving
-10 + 12x + 9x2 = 18 + 3x

Solving for variable 'x'.

Reorder the terms:
-10 + -18 + 12x + -3x + 9x2 = 18 + 3x + -18 + -3x

Combine like terms: -10 + -18 = -28
-28 + 12x + -3x + 9x2 = 18 + 3x + -18 + -3x

Combine like terms: 12x + -3x = 9x
-28 + 9x + 9x2 = 18 + 3x + -18 + -3x

Reorder the terms:
-28 + 9x + 9x2 = 18 + -18 + 3x + -3x

Combine like terms: 18 + -18 = 0
-28 + 9x + 9x2 = 0 + 3x + -3x
-28 + 9x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 9x + 9x2 = 0

Factor a trinomial.
(-7 + -3x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 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 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-2.333333333, 1.333333333}

See similar equations:

| 3(x^2-10)-3x=6(x^2-2x)-42 | | 14x+1+6x-9=32 | | 2x-1=5/3 | | 4x(x-4)+2=x^2+2(2x+17) | | 3/7x-7/5=5x+3/2 | | 3(a-2)+4=4a-(a+2) | | -4x^2-36x-80= | | -4x+4=-4(2x+5) | | (x+2)(x+2)=8+x | | 10a*2-25a=0 | | 5x^2+9x-8=0 | | 10a*2=25a | | 4y^2+8y=60 | | 4y^2-12y=-5 | | 2(x+3)+6=4(x-1) | | 2y^2+7y=15 | | 2(3a^2-5)=8a+4 | | p*0.4*1/4 | | y=-4/7x+9 | | 16/2=b/6 | | 10(2a+3)=50 | | 12+x+4+x=48 | | (3x-105)=(2x+10) | | 90/x=15/21 | | y=-4/3x+17 | | -m/20+4=17 | | 6.7y+.8=.9y+17.6 | | 3900x-15500-495x^2= | | -7x+3y=-9 | | 17.4t-6.3=9.4t-62.2 | | -2.8p+3=.9 | | 4x-3y-6=0 |

Equations solver categories