4x(x-4)=x+15

Simple and best practice solution for 4x(x-4)=x+15 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 4x(x-4)=x+15 equation: 


Simplifying
4x(x + -4) = x + 15

Reorder the terms:
4x(-4 + x) = x + 15
(-4 * 4x + x * 4x) = x + 15
(-16x + 4x2) = x + 15

Reorder the terms:
-16x + 4x2 = 15 + x

Solving
-16x + 4x2 = 15 + x

Solving for variable 'x'.

Reorder the terms:
-15 + -16x + -1x + 4x2 = 15 + x + -15 + -1x

Combine like terms: -16x + -1x = -17x
-15 + -17x + 4x2 = 15 + x + -15 + -1x

Reorder the terms:
-15 + -17x + 4x2 = 15 + -15 + x + -1x

Combine like terms: 15 + -15 = 0
-15 + -17x + 4x2 = 0 + x + -1x
-15 + -17x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
-15 + -17x + 4x2 = 0

Factor a trinomial.
(-3 + -4x)(5 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-0.75, 5}

See similar equations:

| 2/3xN=10 | | 9/7*4/9 | | h=-4.9t^2+51t | | x+5-4=11 | | -1/9b=-4/3s | | 2x-5-6x=7 | | (5m-8)=27 | | 15x+15-7x+-63=4x | | d+33=g+65d | | 9=n/17 | | 5m-8=27 | | 9.25x=37.5+6.75x | | 2h-7k=17 | | 0.5(2m-3)-0.8=27 | | 37.5+6.75x=91.5 | | 4+7+3x=25 | | 2x+39=3x+43 | | 1.8x+32=16 | | X-2y-x-y+5x= | | 1000000000000000/0=x | | 5n-8+6n=-4+7n-1+5 | | 1000000000000000/0 | | -3x+5-7x=-65 | | 4(x+8)=8(x-2) | | N-1/4=6/20 | | 4x+21+7x-48=180 | | 14-x=17-3/2x | | 5p+2=ap-1 | | 115/125 | | 2x+1y=1.5 | | 10+x+x=20 | | a+(a+7)+(4a)=157 |

Equations solver categories