(2x+25)(9x+12)=180

Simple and best practice solution for (2x+25)(9x+12)=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 (2x+25)(9x+12)=180 equation: 


Simplifying
(2x + 25)(9x + 12) = 180

Reorder the terms:
(25 + 2x)(9x + 12) = 180

Reorder the terms:
(25 + 2x)(12 + 9x) = 180

Multiply (25 + 2x) * (12 + 9x)
(25(12 + 9x) + 2x * (12 + 9x)) = 180
((12 * 25 + 9x * 25) + 2x * (12 + 9x)) = 180
((300 + 225x) + 2x * (12 + 9x)) = 180
(300 + 225x + (12 * 2x + 9x * 2x)) = 180
(300 + 225x + (24x + 18x2)) = 180

Combine like terms: 225x + 24x = 249x
(300 + 249x + 18x2) = 180

Solving
300 + 249x + 18x2 = 180

Solving for variable 'x'.

Reorder the terms:
300 + -180 + 249x + 18x2 = 180 + -180

Combine like terms: 300 + -180 = 120
120 + 249x + 18x2 = 180 + -180

Combine like terms: 180 + -180 = 0
120 + 249x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(40 + 83x + 6x2) = 0

Factor a trinomial.
3((40 + 3x)(1 + 2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(40 + 3x)' equal to zero and attempt to solve:

Simplifying
40 + 3x = 0

Solving
40 + 3x = 0

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

Add '-40' to each side of the equation.
40 + -40 + 3x = 0 + -40

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

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

Divide each side by '3'.
x = -13.33333333

Simplifying
x = -13.33333333

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

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

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-13.33333333, -0.5}

See similar equations:

| =3x^2+5x | | q^2-11b+24=0 | | 611=x*0.6 | | 4w+2=3w-5 | | -0.66m=-12 | | 4x+y+3z=1 | | 9n-14=-41+6n | | 5.2(x+4)=-26 | | 81(90+x)=90x | | X^2-18x+25=-4 | | 6[x-3]+10=2[3x-4] | | 9n-14=-41+6 | | 3(6x+2)=2(9x+3) | | -4n-5+n=7(7-7n) | | x^2+y^2-10y+25=25 | | -2a-6a+1=12 | | 4p-9=5+6p | | 11x-2=8x+7 | | 6-5x=4x+24 | | T=3x+6 | | -6=9-6-9 | | Sa=33 | | 6=9-6-9 | | 13z=234 | | -4*9+10*3+9= | | 7x+5+7x+21=180 | | 7x+5=7x+21 | | 32x-14=28 | | 8x+9=10x-3 | | 8x^3+12x^2-4=0 | | -2(5y-5)-y=-4(y-5) | | 2x+4x-27=0 |

Equations solver categories