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

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


Simplifying
2(x + 3) = -3x + 2(x2 + -3)

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

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

Reorder the terms:
6 + 2x = -6 + -3x + 2x2

Solving
6 + 2x = -6 + -3x + 2x2

Solving for variable 'x'.

Reorder the terms:
6 + 6 + 2x + 3x + -2x2 = -6 + -3x + 2x2 + 6 + 3x + -2x2

Combine like terms: 6 + 6 = 12
12 + 2x + 3x + -2x2 = -6 + -3x + 2x2 + 6 + 3x + -2x2

Combine like terms: 2x + 3x = 5x
12 + 5x + -2x2 = -6 + -3x + 2x2 + 6 + 3x + -2x2

Reorder the terms:
12 + 5x + -2x2 = -6 + 6 + -3x + 3x + 2x2 + -2x2

Combine like terms: -6 + 6 = 0
12 + 5x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2
12 + 5x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
12 + 5x + -2x2 = 0 + 2x2 + -2x2
12 + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
12 + 5x + -2x2 = 0

Factor a trinomial.
(4 + -1x)(3 + 2x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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 = {4, -1.5}

See similar equations:

| 8(p-7)=75 | | 6(x)=4 | | -g+x=y | | -3(-5x-y)-5(2y-3x)= | | 9x-(5x-4)=16 | | 7x-2(x-3)=x+5 | | 4(w+1)+w= | | 125+10y=230+7x | | 5x-4=-9x+108 | | 4(w+3)=w+15 | | 1/2(18)h=300 | | 2ln(x)-ln(x+5)=ln(x)-ln(3) | | -2=t-5 | | x/6=4 | | y^3+2y^2-81y+162=0 | | 3.24a+7.14=5.34a | | .09-.01(x+1)=-.03(4-x) | | -24-0.125p=0.375p | | x^2-14x+29=0 | | 81=9v | | 2x^2+3.38=r^2 | | 3x-5=8-(1-x) | | 6v-9/3=v | | y^3+2y^2-81y-162=0 | | Y+3x=21 | | -15=-2x+34 | | 2x-7=x-9 | | 7x^2-2x=2 | | 8(y-1)=4(y+4) | | y+-9= | | 5-3(x-7)=2x+1 | | 4.7(2f-0.5)=.6(1.6f-8.3f) |

Equations solver categories