(7-3x)(x+2)-4=0

Simple and best practice solution for (7-3x)(x+2)-4=0 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 (7-3x)(x+2)-4=0 equation: 


Simplifying
(7 + -3x)(x + 2) + -4 = 0

Reorder the terms:
(7 + -3x)(2 + x) + -4 = 0

Multiply (7 + -3x) * (2 + x)
(7(2 + x) + -3x * (2 + x)) + -4 = 0
((2 * 7 + x * 7) + -3x * (2 + x)) + -4 = 0
((14 + 7x) + -3x * (2 + x)) + -4 = 0
(14 + 7x + (2 * -3x + x * -3x)) + -4 = 0
(14 + 7x + (-6x + -3x2)) + -4 = 0

Combine like terms: 7x + -6x = 1x
(14 + 1x + -3x2) + -4 = 0

Reorder the terms:
14 + -4 + 1x + -3x2 = 0

Combine like terms: 14 + -4 = 10
10 + 1x + -3x2 = 0

Solving
10 + 1x + -3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {2, -1.666666667}

See similar equations:

| 4x^2-4x-5=4 | | 3x+20=4x+13 | | w^2-13w^2+40=0 | | -10x^4+4x-6x^3=0 | | 6x+5=4x+8 | | 8n-20=52 | | 28x+7(-4x-8)=24 | | 3y+15-4y+8=-2y+10 | | 11k^2=17 | | XSquared+x=wsquared | | 5x^2+25x^4-15x^7=0 | | -5(v+9)=-60 | | 12k^2-4=7k | | 5x+10-7(15-x)=0 | | 2(7x+5)=10(2x+3) | | 28x+7(-4-8)=24 | | x*664=100 | | 11x+30=4x+114 | | 2(x+7)+8=22 | | 3x-22=180 | | 13=v/8+3 | | 3x-22=100 | | 120+95+x+85=360 | | 9x^2=-10x+20 | | 25x+5(-5-1)=17 | | 3+30x=15x+9 | | 3(m+2)+5(m-1)= | | 7v+4=-52 | | 10h-13=57 | | 4n+3=13 | | 24x+6(-4-8)=23 | | x^2+16=9x |

Equations solver categories