(5x-25)(3x+9)=180

Simple and best practice solution for (5x-25)(3x+9)=180 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 (5x-25)(3x+9)=180 equation: 


Simplifying
(5x + -25)(3x + 9) = 180

Reorder the terms:
(-25 + 5x)(3x + 9) = 180

Reorder the terms:
(-25 + 5x)(9 + 3x) = 180

Multiply (-25 + 5x) * (9 + 3x)
(-25(9 + 3x) + 5x * (9 + 3x)) = 180
((9 * -25 + 3x * -25) + 5x * (9 + 3x)) = 180
((-225 + -75x) + 5x * (9 + 3x)) = 180
(-225 + -75x + (9 * 5x + 3x * 5x)) = 180
(-225 + -75x + (45x + 15x2)) = 180

Combine like terms: -75x + 45x = -30x
(-225 + -30x + 15x2) = 180

Solving
-225 + -30x + 15x2 = 180

Solving for variable 'x'.

Reorder the terms:
-225 + -180 + -30x + 15x2 = 180 + -180

Combine like terms: -225 + -180 = -405
-405 + -30x + 15x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-405 + -30x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '15'.
15(-27 + -2x + x2) = 0

Ignore the factor 15.

Subproblem 1
Set the factor '(-27 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-27 + -2x + x2 = 0

Solving
-27 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '27' to each side of the equation.
-27 + -2x + 27 + x2 = 0 + 27

Reorder the terms:
-27 + 27 + -2x + x2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -2x + x2 = 0 + 27
-2x + x2 = 0 + 27

Combine like terms: 0 + 27 = 27
-2x + x2 = 27

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 27 + 1

Reorder the terms:
1 + -2x + x2 = 27 + 1

Combine like terms: 27 + 1 = 28
1 + -2x + x2 = 28

Factor a perfect square on the left side:
(x + -1)(x + -1) = 28

Calculate the square root of the right side: 5.291502622

Break this problem into two subproblems by setting 
(x + -1) equal to 5.291502622 and -5.291502622.


Subproblem 1
x + -1 = 5.291502622

Simplifying
x + -1 = 5.291502622

Reorder the terms:
-1 + x = 5.291502622

Solving
-1 + x = 5.291502622

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = 5.291502622 + 1

Combine like terms: -1 + 1 = 0
0 + x = 5.291502622 + 1
x = 5.291502622 + 1

Combine like terms: 5.291502622 + 1 = 6.291502622
x = 6.291502622

Simplifying
x = 6.291502622


Subproblem 2
x + -1 = -5.291502622

Simplifying
x + -1 = -5.291502622

Reorder the terms:
-1 + x = -5.291502622

Solving
-1 + x = -5.291502622

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = -5.291502622 + 1

Combine like terms: -1 + 1 = 0
0 + x = -5.291502622 + 1
x = -5.291502622 + 1

Combine like terms: -5.291502622 + 1 = -4.291502622
x = -4.291502622

Simplifying
x = -4.291502622


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.291502622, -4.291502622}
Solution
x = {6.291502622, -4.291502622}

See similar equations:

| 2q^2+11qd-63d^2= | | x^2/3-2x^1/3-15=0 | | 3x-7=11x-1 | | 11=-8p-3p | | w^2-2w+1/4-4w^2 | | 40x^5+70x^4+15x^3= | | 4(10-6x)= | | (2t-8)2=-24 | | .4t=.2+.9t | | 4.5-5h=2.8 | | logx^8=3 | | -9=5x+4+36 | | (4n+1)(2n+6)=0 | | 20a^2-17a-63= | | (4x/a)+(3x/c)=b | | 4(10-6x)x= | | y+6=8y+16 | | 0=6v-5v | | -X-ray(13+4x)=-3(5-9x)+2 | | 210+x=250 | | 18x-4=42 | | 2/9s=6 | | 90+x=32+x | | x+7/8-x-2/3=4/3 | | 1+10/-1= | | x+90=32+x | | 6b+2=10 | | -35x^2y^2+2xy^2+24y^2= | | 73=-6(k-7)-6(k+5) | | 40/8-36= | | x-.15x=15.30 | | 6(5x+6)=38 |

Equations solver categories