(2+x)(5-2x)=54

Simple and best practice solution for (2+x)(5-2x)=54 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 (2+x)(5-2x)=54 equation: 


Simplifying
(2 + x)(5 + -2x) = 54

Multiply (2 + x) * (5 + -2x)
(2(5 + -2x) + x(5 + -2x)) = 54
((5 * 2 + -2x * 2) + x(5 + -2x)) = 54
((10 + -4x) + x(5 + -2x)) = 54
(10 + -4x + (5 * x + -2x * x)) = 54
(10 + -4x + (5x + -2x2)) = 54

Combine like terms: -4x + 5x = 1x
(10 + 1x + -2x2) = 54

Solving
10 + 1x + -2x2 = 54

Solving for variable 'x'.

Reorder the terms:
10 + -54 + 1x + -2x2 = 54 + -54

Combine like terms: 10 + -54 = -44
-44 + 1x + -2x2 = 54 + -54

Combine like terms: 54 + -54 = 0
-44 + 1x + -2x2 = 0

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

Divide each side by '-2'.
22 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -0.5x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + -0.5x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -0.5x + x2 = 0 + -22
-0.5x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
-0.5x + x2 = -22

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -22 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -22 + 0.0625

Combine like terms: -22 + 0.0625 = -21.9375
0.0625 + -0.5x + x2 = -21.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -21.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 8x+2(6-3x)=3x-3 | | -2v^2+v+6=0 | | 3x-24-6=9 | | SD=(4Y+5) | | 6(x-4)-3(x-2)=9 | | 89=5w+9 | | 2x^3+x-100=0 | | 200+11x= | | y=8ex | | 54=3v+12 | | 4w+13=45 | | (4x-11)=2 | | Y-10=13 | | 8t-60+15t=-2x-5t | | 3w+16=76 | | 8+1+2t=4t+12 | | 8+1-2t=4t-12 | | 8+1-2t=4t+12 | | 8cos^4x+1=0 | | (6x^2*y^2)*(-3x^4*y^3*z^3)= | | 3y-6x=-17 | | X^5+6x^4+4x^3-24x^2-16x+32=0 | | -3y+5=2y-10 | | -3y+5=2y-1o | | 5+15x=100 | | 4x+-6x-2=-1 | | 2y+3=6-y | | 9y-(4y+y)=24 | | 7(x+2)=2(2a-1) | | int(cosX)dx= | | 3w^3-5w^2-27w+45=0 | | 14=c^2+5c |

Equations solver categories