9x^2+12x+3=3x^2-5x-4

Simple and best practice solution for 9x^2+12x+3=3x^2-5x-4 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 9x^2+12x+3=3x^2-5x-4 equation: 


Simplifying
9x2 + 12x + 3 = 3x2 + -5x + -4

Reorder the terms:
3 + 12x + 9x2 = 3x2 + -5x + -4

Reorder the terms:
3 + 12x + 9x2 = -4 + -5x + 3x2

Solving
3 + 12x + 9x2 = -4 + -5x + 3x2

Solving for variable 'x'.

Reorder the terms:
3 + 4 + 12x + 5x + 9x2 + -3x2 = -4 + -5x + 3x2 + 4 + 5x + -3x2

Combine like terms: 3 + 4 = 7
7 + 12x + 5x + 9x2 + -3x2 = -4 + -5x + 3x2 + 4 + 5x + -3x2

Combine like terms: 12x + 5x = 17x
7 + 17x + 9x2 + -3x2 = -4 + -5x + 3x2 + 4 + 5x + -3x2

Combine like terms: 9x2 + -3x2 = 6x2
7 + 17x + 6x2 = -4 + -5x + 3x2 + 4 + 5x + -3x2

Reorder the terms:
7 + 17x + 6x2 = -4 + 4 + -5x + 5x + 3x2 + -3x2

Combine like terms: -4 + 4 = 0
7 + 17x + 6x2 = 0 + -5x + 5x + 3x2 + -3x2
7 + 17x + 6x2 = -5x + 5x + 3x2 + -3x2

Combine like terms: -5x + 5x = 0
7 + 17x + 6x2 = 0 + 3x2 + -3x2
7 + 17x + 6x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
7 + 17x + 6x2 = 0

Factor a trinomial.
(7 + 3x)(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-2.333333333, -0.5}

See similar equations:

| 19x+44-47x=39 | | 0.66x=47 | | 9x^2-2x+4=8x^2+6x-8 | | -3x^2-14x+2=2x-7x^2+11 | | 3x-33+5x=63 | | -3x^2-14x+2=2x+7x^2+11 | | 9(-2x+1)=45 | | 3x^2-5x+7=5x-1 | | 0=4x^3-22x^2+108x-112 | | 18(x-2)=3(6x+3)-45 | | 200x+78=4356 | | 8x^2-13x-3=3x^2-x+6 | | -3x^2+4x-9=4x-7x^2 | | -4y+4x=48 | | 0.08x+0.06(x-1300)=230 | | 3x^2-2x-11=2x^2-x+1 | | x^3+5x^2+2x-12=0 | | xy+2=9 | | -y=3x+5 | | 1+2.3x-5.4x+9.2=76 | | 9x^2-11x+4=8x^2+20 | | [6+11]*8= | | 9+10x-12x=20 | | 1607.6=1.8C+32 | | 3(b+13)-12=45 | | 1.1+2.4f=8.3 | | 2s-4+3s=2s-1 | | 9x-71+8x=133 | | 0.70x+0.20(400-x)=0.60(400) | | 8y+4=7y | | 5x+4y+19=0 | | 27x=1377 |

Equations solver categories