(x-3.2)(x)(2.3)=180.4

Simple and best practice solution for (x-3.2)(x)(2.3)=180.4 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 (x-3.2)(x)(2.3)=180.4 equation: 


Simplifying
(x + -3.2)(x)(2.3) = 180.4

Reorder the terms:
(-3.2 + x)(x)(2.3) = 180.4

Reorder the terms for easier multiplication:
2.3x(-3.2 + x) = 180.4
(-3.2 * 2.3x + x * 2.3x) = 180.4
(-7.36x + 2.3x2) = 180.4

Solving
-7.36x + 2.3x2 = 180.4

Solving for variable 'x'.

Reorder the terms:
-180.4 + -7.36x + 2.3x2 = 180.4 + -180.4

Combine like terms: 180.4 + -180.4 = 0.0
-180.4 + -7.36x + 2.3x2 = 0.0

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

Divide each side by '2.3'.
-78.43478261 + -3.2x + x2 = 0

Move the constant term to the right:

Add '78.43478261' to each side of the equation.
-78.43478261 + -3.2x + 78.43478261 + x2 = 0 + 78.43478261

Reorder the terms:
-78.43478261 + 78.43478261 + -3.2x + x2 = 0 + 78.43478261

Combine like terms: -78.43478261 + 78.43478261 = 0.00000000
0.00000000 + -3.2x + x2 = 0 + 78.43478261
-3.2x + x2 = 0 + 78.43478261

Combine like terms: 0 + 78.43478261 = 78.43478261
-3.2x + x2 = 78.43478261

The x term is -3.2x.  Take half its coefficient (-1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
-3.2x + 2.56 + x2 = 78.43478261 + 2.56

Reorder the terms:
2.56 + -3.2x + x2 = 78.43478261 + 2.56

Combine like terms: 78.43478261 + 2.56 = 80.99478261
2.56 + -3.2x + x2 = 80.99478261

Factor a perfect square on the left side:
(x + -1.6)(x + -1.6) = 80.99478261

Calculate the square root of the right side: 8.99971014

Break this problem into two subproblems by setting 
(x + -1.6) equal to 8.99971014 and -8.99971014.


Subproblem 1
x + -1.6 = 8.99971014

Simplifying
x + -1.6 = 8.99971014

Reorder the terms:
-1.6 + x = 8.99971014

Solving
-1.6 + x = 8.99971014

Solving for variable 'x'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + x = 8.99971014 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + x = 8.99971014 + 1.6
x = 8.99971014 + 1.6

Combine like terms: 8.99971014 + 1.6 = 10.59971014
x = 10.59971014

Simplifying
x = 10.59971014


Subproblem 2
x + -1.6 = -8.99971014

Simplifying
x + -1.6 = -8.99971014

Reorder the terms:
-1.6 + x = -8.99971014

Solving
-1.6 + x = -8.99971014

Solving for variable 'x'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + x = -8.99971014 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + x = -8.99971014 + 1.6
x = -8.99971014 + 1.6

Combine like terms: -8.99971014 + 1.6 = -7.39971014
x = -7.39971014

Simplifying
x = -7.39971014


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.59971014, -7.39971014}

See similar equations:

| .15*45= | | Y+1=-5(x+5) | | 25=20+15m | | 4-(2x-3)=3 | | f(x)=x^3-28-48 | | 5-(2x-3)=4(x-1) | | 80/ | | 5+2L=3+14L | | (A-10)*(A/10)-200 | | 7x-5=-5(x+2)-19 | | r^2+5-36=0 | | 6/5=x-2/40 | | -(-x+1)-7=2-(5-2x) | | 4x-15+5x+6+90=180 | | -(8a+6)=7(-a-3)+2a | | 5y^2+35y-30=0 | | f(x)=x^2+11x+-18 | | -7(-n+1)=12+7n | | 9+3.5g=11-.5 | | 5(x-3)+1=3x-2 | | 1x+10=10 | | 7-7(2n-8)=7(2n-3) | | -6v-1=-6(v-6) | | -7(v+6)=-84 | | 78.5=(3.14)r^2 | | 4(x+6)=4r | | (2x+3)(3x-2)=6x*2+nx-6 | | -8(-5+n)=96 | | 96=2(7n-8) | | 1/2x2/15 | | 25n-10n=0 | | 9(x-14)=-18 |

Equations solver categories