-0.7x(0.3x-0.8)=-4.48

Simple and best practice solution for -0.7x(0.3x-0.8)=-4.48 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 -0.7x(0.3x-0.8)=-4.48 equation: 


Simplifying
-0.7x(0.3x + -0.8) = -4.48

Reorder the terms:
-0.7x(-0.8 + 0.3x) = -4.48
(-0.8 * -0.7x + 0.3x * -0.7x) = -4.48
(0.56x + -0.21x2) = -4.48

Solving
0.56x + -0.21x2 = -4.48

Solving for variable 'x'.

Reorder the terms:
4.48 + 0.56x + -0.21x2 = -4.48 + 4.48

Combine like terms: -4.48 + 4.48 = 0.00
4.48 + 0.56x + -0.21x2 = 0.00

Begin completing the square.  Divide all terms by
-0.21 the coefficient of the squared term: 

Divide each side by '-0.21'.
-21.33333333 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '21.33333333' to each side of the equation.
-21.33333333 + -2.666666667x + 21.33333333 + x2 = 0 + 21.33333333

Reorder the terms:
-21.33333333 + 21.33333333 + -2.666666667x + x2 = 0 + 21.33333333

Combine like terms: -21.33333333 + 21.33333333 = 0.00000000
0.00000000 + -2.666666667x + x2 = 0 + 21.33333333
-2.666666667x + x2 = 0 + 21.33333333

Combine like terms: 0 + 21.33333333 = 21.33333333
-2.666666667x + x2 = 21.33333333

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = 21.33333333 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = 21.33333333 + 1.777777780

Combine like terms: 21.33333333 + 1.777777780 = 23.11111111
1.777777780 + -2.666666667x + x2 = 23.11111111

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = 23.11111111

Calculate the square root of the right side: 4.807401701

Break this problem into two subproblems by setting 
(x + -1.333333334) equal to 4.807401701 and -4.807401701.


Subproblem 1
x + -1.333333334 = 4.807401701

Simplifying
x + -1.333333334 = 4.807401701

Reorder the terms:
-1.333333334 + x = 4.807401701

Solving
-1.333333334 + x = 4.807401701

Solving for variable 'x'.

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

Add '1.333333334' to each side of the equation.
-1.333333334 + 1.333333334 + x = 4.807401701 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = 4.807401701 + 1.333333334
x = 4.807401701 + 1.333333334

Combine like terms: 4.807401701 + 1.333333334 = 6.140735035
x = 6.140735035

Simplifying
x = 6.140735035


Subproblem 2
x + -1.333333334 = -4.807401701

Simplifying
x + -1.333333334 = -4.807401701

Reorder the terms:
-1.333333334 + x = -4.807401701

Solving
-1.333333334 + x = -4.807401701

Solving for variable 'x'.

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

Add '1.333333334' to each side of the equation.
-1.333333334 + 1.333333334 + x = -4.807401701 + 1.333333334

Combine like terms: -1.333333334 + 1.333333334 = 0.000000000
0.000000000 + x = -4.807401701 + 1.333333334
x = -4.807401701 + 1.333333334

Combine like terms: -4.807401701 + 1.333333334 = -3.474068367
x = -3.474068367

Simplifying
x = -3.474068367


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.140735035, -3.474068367}

See similar equations:

| 14x^2-3x+7=10 | | .768x+18y=30000 | | 6b*5=10 | | 4000-392= | | 5(x-6)+2x=12 | | 15b=80+5b | | 3X-(4+31X)+8X=1 | | 3x+x-5=60 | | 7x+15=2x+90 | | -64=4(2n-5)+3n | | 15x+6=10x | | 3x-10=2x/3 | | 9(w-2)=6w-6 | | 5x^2-4y^2-20x+8y-4=0 | | 430=3x+148 | | 4x+5=3(x-2) | | -11-a-5/6 | | 3y-10/5=7 | | 12y+18=162 | | (x+-3)*2=4*(x+5) | | 3x-13=4x+9 | | 0.4(5-0.4n)=-4.2 | | 2[x-(5x+2)]=2+(2x+1) | | (x+-3)*2=4(x+5) | | x-{-9/14}=5/7 | | X+6=7x-20 | | -26-(10x-5)=9(x+4) | | 6x-3/2=2x-5/3 | | 3/4n-3=-15 | | 2z-6z=5z+3-7z | | 4(x+1.04)=3x | | 8+4=-4(7x-3) |

Equations solver categories