40=x(3x-7)

Simple and best practice solution for 40=x(3x-7) 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 40=x(3x-7) equation: 


Simplifying
40 = x(3x + -7)

Reorder the terms:
40 = x(-7 + 3x)
40 = (-7 * x + 3x * x)
40 = (-7x + 3x2)

Solving
40 = -7x + 3x2

Solving for variable 'x'.

Reorder the terms:
40 + 7x + -3x2 = -7x + 7x + 3x2 + -3x2

Combine like terms: -7x + 7x = 0
40 + 7x + -3x2 = 0 + 3x2 + -3x2
40 + 7x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
40 + 7x + -3x2 = 0

Factor a trinomial.
(5 + -1x)(8 + 3x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {5, -2.666666667}

See similar equations:

| 2.4+1.2x=15 | | 12x^2-5=17 | | 3n+n=27 | | 60x-3x^2=10x+2x^2 | | 80x-3x^2=10x+2x^2 | | (6+4n-4)n=1806 | | a/4+3=a/3+5 | | 27.9/6.2 | | 200/18x22000 | | z/4+3=z/3+7 | | 2x=18-4x | | 2(y+3)+3y=5y-10 | | 25g-100=-75 | | 5n+10=-65 | | 2x+2=x-3 | | 7(9x-5)-3(4-8x)+7(-4x+6)=-10(2-6x) | | (3/y^2-9)+(4/y+3)=1 | | 4n+6=-22 | | 37-x=2a | | 1/2(4y+6)-5=-1/7(7y-28) | | 1n-2=2n | | 6-2x=2x+4 | | 24x+5=1 | | x^2-4x-4=0whatisx | | 16/2/3 | | 12x-13=2x+17 | | 15y-4=14+15y | | 1/4x+13=-1/4x | | 5x+3=19-4x+x | | 3e^3y=18 | | y+1=11/8(x+11) | | 2x^2+5+1=0 |

Equations solver categories