2(5x+4)x-10(9x-10)=

Simple and best practice solution for 2(5x+4)x-10(9x-10)= 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(5x+4)x-10(9x-10)= equation: 


Simplifying
2(5x + 4) * x + -10(9x + -10) = 0

Reorder the terms:
2(4 + 5x) * x + -10(9x + -10) = 0

Reorder the terms for easier multiplication:
2x(4 + 5x) + -10(9x + -10) = 0
(4 * 2x + 5x * 2x) + -10(9x + -10) = 0
(8x + 10x2) + -10(9x + -10) = 0

Reorder the terms:
8x + 10x2 + -10(-10 + 9x) = 0
8x + 10x2 + (-10 * -10 + 9x * -10) = 0
8x + 10x2 + (100 + -90x) = 0

Reorder the terms:
100 + 8x + -90x + 10x2 = 0

Combine like terms: 8x + -90x = -82x
100 + -82x + 10x2 = 0

Solving
100 + -82x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(50 + -41x + 5x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(50 + -41x + 5x2)' equal to zero and attempt to solve:

Simplifying
50 + -41x + 5x2 = 0

Solving
50 + -41x + 5x2 = 0

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

Divide each side by '5'.
10 + -8.2x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -8.2x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -8.2x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -8.2x + x2 = 0 + -10
-8.2x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-8.2x + x2 = -10

The x term is -8.2x.  Take half its coefficient (-4.1).
Square it (16.81) and add it to both sides.

Add '16.81' to each side of the equation.
-8.2x + 16.81 + x2 = -10 + 16.81

Reorder the terms:
16.81 + -8.2x + x2 = -10 + 16.81

Combine like terms: -10 + 16.81 = 6.81
16.81 + -8.2x + x2 = 6.81

Factor a perfect square on the left side:
(x + -4.1)(x + -4.1) = 6.81

Calculate the square root of the right side: 2.60959767

Break this problem into two subproblems by setting 
(x + -4.1) equal to 2.60959767 and -2.60959767.


Subproblem 1
x + -4.1 = 2.60959767

Simplifying
x + -4.1 = 2.60959767

Reorder the terms:
-4.1 + x = 2.60959767

Solving
-4.1 + x = 2.60959767

Solving for variable 'x'.

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

Add '4.1' to each side of the equation.
-4.1 + 4.1 + x = 2.60959767 + 4.1

Combine like terms: -4.1 + 4.1 = 0.0
0.0 + x = 2.60959767 + 4.1
x = 2.60959767 + 4.1

Combine like terms: 2.60959767 + 4.1 = 6.70959767
x = 6.70959767

Simplifying
x = 6.70959767


Subproblem 2
x + -4.1 = -2.60959767

Simplifying
x + -4.1 = -2.60959767

Reorder the terms:
-4.1 + x = -2.60959767

Solving
-4.1 + x = -2.60959767

Solving for variable 'x'.

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

Add '4.1' to each side of the equation.
-4.1 + 4.1 + x = -2.60959767 + 4.1

Combine like terms: -4.1 + 4.1 = 0.0
0.0 + x = -2.60959767 + 4.1
x = -2.60959767 + 4.1

Combine like terms: -2.60959767 + 4.1 = 1.49040233
x = 1.49040233

Simplifying
x = 1.49040233


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.70959767, 1.49040233}
Solution
x = {6.70959767, 1.49040233}

See similar equations:

| a=1/2*25*24 | | x-54=30-3x | | -5x-19=11-6x | | 3-3x+4(3-3)= | | 15y-10=20 | | 9/11/23 | | 8x+2=8(x+6) | | x+9-4x=39 | | 24-34=-24+14 | | X^2-5x-14=y | | 5+c/3=-10 | | 45t=60(t-2) | | 1/3(3p+12) | | 45t=60t-120 | | 4(x+7)-9=31 | | 3.14/180*17 | | 7p-5=6p-8 | | 4n-21=n+15 | | 3.14/180*r | | 0=13 | | -165+28=-125-12 | | 5n+48=43 | | 8x+1-5=3x-5+x | | 8x^2-44x-114=0 | | -xsquared+x+6=o | | 5t^2-5t-100=0 | | 4x-6(3-x)=18 | | -2t(t-3)+8t=9t-8 | | 3a^2-4=104 | | 6z+2-4z=56-4z | | -3y-5=-2y-6 | | 87*48= |

Equations solver categories