(9-2x)(x+3)=180

Simple and best practice solution for (9-2x)(x+3)=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 (9-2x)(x+3)=180 equation: 


Simplifying
(9 + -2x)(x + 3) = 180

Reorder the terms:
(9 + -2x)(3 + x) = 180

Multiply (9 + -2x) * (3 + x)
(9(3 + x) + -2x * (3 + x)) = 180
((3 * 9 + x * 9) + -2x * (3 + x)) = 180
((27 + 9x) + -2x * (3 + x)) = 180
(27 + 9x + (3 * -2x + x * -2x)) = 180
(27 + 9x + (-6x + -2x2)) = 180

Combine like terms: 9x + -6x = 3x
(27 + 3x + -2x2) = 180

Solving
27 + 3x + -2x2 = 180

Solving for variable 'x'.

Reorder the terms:
27 + -180 + 3x + -2x2 = 180 + -180

Combine like terms: 27 + -180 = -153
-153 + 3x + -2x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-153 + 3x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
76.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-76.5' to each side of the equation.
76.5 + -1.5x + -76.5 + x2 = 0 + -76.5

Reorder the terms:
76.5 + -76.5 + -1.5x + x2 = 0 + -76.5

Combine like terms: 76.5 + -76.5 = 0.0
0.0 + -1.5x + x2 = 0 + -76.5
-1.5x + x2 = 0 + -76.5

Combine like terms: 0 + -76.5 = -76.5
-1.5x + x2 = -76.5

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -76.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -76.5 + 0.5625

Combine like terms: -76.5 + 0.5625 = -75.9375
0.5625 + -1.5x + x2 = -75.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -75.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3/5m=2/7 | | 5x+18+8x-15=120 | | 24f+56g= | | 2(f^4)^2f^2/8f^12 | | 5x-3y=15fory | | -7x-9=131+7x | | 7x^2-2x-k=0 | | 4v+5(v+3)=33 | | 3x^2=x^2-18 | | 5y+2(y-6)=2 | | 90*3(x)=5(x) | | 6(w+6)+2w=28 | | (8w^9/9w)(2/w) | | x+7*x*x=8 | | 8w^9/9wx2/w | | 2x+x+12+3x-6=180 | | 10.2x+39.55=-9.8x+38.19 | | 2x+1=1+4x | | 9m^2+27m+1=0 | | u+u+eu=ue | | 19x-18-11x=4(2x-5)+2 | | 2x+11=1+4x | | x+7=-5x+25 | | 125x^3= | | 25y^2x^2+60yx^2+36x^2= | | 0=4x^2+40x-156 | | 2+-2x+x=x-.5 | | 2z^2+11z+5= | | 7x+6=5(x+2) | | 86/100=5/x | | 2+-1=x+-.5 | | 12-8X=10+8X |

Equations solver categories