x(9x+7)=4x^2-15x+48

Simple and best practice solution for x(9x+7)=4x^2-15x+48 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 x(9x+7)=4x^2-15x+48 equation: 


Simplifying
x(9x + 7) = 4x2 + -15x + 48

Reorder the terms:
x(7 + 9x) = 4x2 + -15x + 48
(7 * x + 9x * x) = 4x2 + -15x + 48
(7x + 9x2) = 4x2 + -15x + 48

Reorder the terms:
7x + 9x2 = 48 + -15x + 4x2

Solving
7x + 9x2 = 48 + -15x + 4x2

Solving for variable 'x'.

Reorder the terms:
-48 + 7x + 15x + 9x2 + -4x2 = 48 + -15x + 4x2 + -48 + 15x + -4x2

Combine like terms: 7x + 15x = 22x
-48 + 22x + 9x2 + -4x2 = 48 + -15x + 4x2 + -48 + 15x + -4x2

Combine like terms: 9x2 + -4x2 = 5x2
-48 + 22x + 5x2 = 48 + -15x + 4x2 + -48 + 15x + -4x2

Reorder the terms:
-48 + 22x + 5x2 = 48 + -48 + -15x + 15x + 4x2 + -4x2

Combine like terms: 48 + -48 = 0
-48 + 22x + 5x2 = 0 + -15x + 15x + 4x2 + -4x2
-48 + 22x + 5x2 = -15x + 15x + 4x2 + -4x2

Combine like terms: -15x + 15x = 0
-48 + 22x + 5x2 = 0 + 4x2 + -4x2
-48 + 22x + 5x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-48 + 22x + 5x2 = 0

Factor a trinomial.
(-6 + -1x)(8 + -5x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-6, 1.6}

See similar equations:

| 2x^2-5xy-12y^2= | | 5.1=5.9-0.2x | | 5/2x+1/2(6-x)=27 | | 25y^2-4z^2= | | 8y-4+5=40 | | 6w^2+11wp-10p^2= | | x-3(2x+7)=-71 | | 18v^3+15v^2-63v= | | 4(v+4)=9v+26 | | 14+10y=32 | | 3p^2+10p-120=0 | | 5x-20x=0 | | 2x+.25y=11 | | nx+x=r | | v^3+3v^2=0 | | -3=2y | | 2x+3y+3x-y-2=80 | | 15x^3+39x^2-18x=0 | | 18a^3+51a^2-42a= | | 9y-4(y+4)=40 | | 3(x-5)+9=3 | | 4x+6y-24=0 | | x^2-2*abs(x)-15=0 | | 7w^2+26w+15= | | 0.02x+0.10(100-x)=0.42x | | 4(2x-3)+8(x-4)=2(2x+6)fraction | | 72=9-3q | | [t-16]=20 | | -4x-7x=-121 | | 0.16y+0.05(y+3000)=2040 | | (2x^1)+2x+(2x^1)+(2x^2)+(2x^3)=120 | | -3q+15=-27 |

Equations solver categories