(0.3x-23)(0.1x+49)=

Simple and best practice solution for (0.3x-23)(0.1x+49)= 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 (0.3x-23)(0.1x+49)= equation:


Simplifying
(0.3x + -23)(0.1x + 49) = 0

Reorder the terms:
(-23 + 0.3x)(0.1x + 49) = 0

Reorder the terms:
(-23 + 0.3x)(49 + 0.1x) = 0

Multiply (-23 + 0.3x) * (49 + 0.1x)
(-23(49 + 0.1x) + 0.3x * (49 + 0.1x)) = 0
((49 * -23 + 0.1x * -23) + 0.3x * (49 + 0.1x)) = 0
((-1127 + -2.3x) + 0.3x * (49 + 0.1x)) = 0
(-1127 + -2.3x + (49 * 0.3x + 0.1x * 0.3x)) = 0
(-1127 + -2.3x + (14.7x + 0.03x2)) = 0

Combine like terms: -2.3x + 14.7x = 12.4x
(-1127 + 12.4x + 0.03x2) = 0

Solving
-1127 + 12.4x + 0.03x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.03'.
-37566.66667 + 413.3333333x + x2 = 0

Move the constant term to the right:

Add '37566.66667' to each side of the equation.
-37566.66667 + 413.3333333x + 37566.66667 + x2 = 0 + 37566.66667

Reorder the terms:
-37566.66667 + 37566.66667 + 413.3333333x + x2 = 0 + 37566.66667

Combine like terms: -37566.66667 + 37566.66667 = 0.00000
0.00000 + 413.3333333x + x2 = 0 + 37566.66667
413.3333333x + x2 = 0 + 37566.66667

Combine like terms: 0 + 37566.66667 = 37566.66667
413.3333333x + x2 = 37566.66667

The x term is 413.3333333x.  Take half its coefficient (206.6666667).
Square it (42711.11112) and add it to both sides.

Add '42711.11112' to each side of the equation.
413.3333333x + 42711.11112 + x2 = 37566.66667 + 42711.11112

Reorder the terms:
42711.11112 + 413.3333333x + x2 = 37566.66667 + 42711.11112

Combine like terms: 37566.66667 + 42711.11112 = 80277.77779
42711.11112 + 413.3333333x + x2 = 80277.77779

Factor a perfect square on the left side:
(x + 206.6666667)(x + 206.6666667) = 80277.77779

Calculate the square root of the right side: 283.333333355

Break this problem into two subproblems by setting 
(x + 206.6666667) equal to 283.333333355 and -283.333333355.

Subproblem 1

x + 206.6666667 = 283.333333355 Simplifying x + 206.6666667 = 283.333333355 Reorder the terms: 206.6666667 + x = 283.333333355 Solving 206.6666667 + x = 283.333333355 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-206.6666667' to each side of the equation. 206.6666667 + -206.6666667 + x = 283.333333355 + -206.6666667 Combine like terms: 206.6666667 + -206.6666667 = 0.0000000 0.0000000 + x = 283.333333355 + -206.6666667 x = 283.333333355 + -206.6666667 Combine like terms: 283.333333355 + -206.6666667 = 76.666666655 x = 76.666666655 Simplifying x = 76.666666655

Subproblem 2

x + 206.6666667 = -283.333333355 Simplifying x + 206.6666667 = -283.333333355 Reorder the terms: 206.6666667 + x = -283.333333355 Solving 206.6666667 + x = -283.333333355 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-206.6666667' to each side of the equation. 206.6666667 + -206.6666667 + x = -283.333333355 + -206.6666667 Combine like terms: 206.6666667 + -206.6666667 = 0.0000000 0.0000000 + x = -283.333333355 + -206.6666667 x = -283.333333355 + -206.6666667 Combine like terms: -283.333333355 + -206.6666667 = -490.000000055 x = -490.000000055 Simplifying x = -490.000000055

Solution

The solution to the problem is based on the solutions from the subproblems. x = {76.666666655, -490.000000055}

See similar equations:

| f(x)=1/3x^3-4x | | s-4=6s-99 | | 25.7*21= | | 4(cosign(2x))-2=0 | | w+13=4w-47 | | 4(cos(2x))-2=0 | | 5.2*42= | | 5x+60=70 | | 14,245:35= столбиком | | 4cos(2x)-2=0 | | 5x+3(-2x-3)=-4 | | 3.4*29= | | FX=x^3-10x^4+5x-3 | | 3D+8=44 | | -4w=-1 | | 6s+2=9s-31 | | 6s-2=9s-31 | | 7m+10=45 | | 1.7*15= | | 7h-5/4=11 | | 4x-(6x-2)=34 | | F(x)=12x^3+2x^2-5x+4 | | 9x+15y-27= | | 20-5=4x+5 | | 2b-49=b-11 | | 0.9+7a-0.6-6a+0.5= | | 1-6=6x | | -2(3-4y)-y=8 | | 8b+6=134 | | 2.24*3.1= | | 2q+24+q=180 | | sin^2+cos^2=sin+1 |

Equations solver categories