2x(2x+3)=-3(x-3)

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


Simplifying
2x(2x + 3) = -3(x + -3)

Reorder the terms:
2x(3 + 2x) = -3(x + -3)
(3 * 2x + 2x * 2x) = -3(x + -3)
(6x + 4x2) = -3(x + -3)

Reorder the terms:
6x + 4x2 = -3(-3 + x)
6x + 4x2 = (-3 * -3 + x * -3)
6x + 4x2 = (9 + -3x)

Solving
6x + 4x2 = 9 + -3x

Solving for variable 'x'.

Reorder the terms:
-9 + 6x + 3x + 4x2 = 9 + -3x + -9 + 3x

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

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

Combine like terms: 9 + -9 = 0
-9 + 9x + 4x2 = 0 + -3x + 3x
-9 + 9x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 9x + 4x2 = 0

Factor a trinomial.
(-3 + -1x)(3 + -4x) = 0


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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-3, 0.75}

See similar equations:

| 2x^3+0x^2+0x+1=0 | | x(x+20)=528 | | -348=-7(1-7n)+2 | | 3x^5-10x^4-8x^3= | | .050x+.25(150)=.25(150) | | 7(n-7)=-98 | | 4+5n=-51 | | 2x^4-7x^3-4x^2= | | (x+2)*(2x+4)*(x+1)=36 | | -4(6m+2)=-200 | | -4=-4(3) | | s=3r^2t | | 8-7w=3+9 | | 5(2a+5)+3(a+7)= | | -368=-8(6x+4) | | 2=2/9×9 | | 7x+2=-57+3 | | 2=2/99 | | 116=4(1+7x) | | 17-4x=2x+2 | | x^3+5x^2-50x= | | 14-4x(a)=6 | | X=2/9y | | 6.1h=3.2-8.7 | | 4/(x-2)=6/3 | | 23x*x=100 | | 6+4x=-9 | | -7y+3=-3(y+2) | | -5(-2+7n)-1=219 | | 6=14-4x | | 5-3(2y+4)-6=12+3y | | (x-2)/3=x/4 |

Equations solver categories