7x-2x(x-3)=5x+2

Simple and best practice solution for 7x-2x(x-3)=5x+2 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 7x-2x(x-3)=5x+2 equation:


Simplifying
7x + -2x(x + -3) = 5x + 2

Reorder the terms:
7x + -2x(-3 + x) = 5x + 2
7x + (-3 * -2x + x * -2x) = 5x + 2
7x + (6x + -2x2) = 5x + 2

Combine like terms: 7x + 6x = 13x
13x + -2x2 = 5x + 2

Reorder the terms:
13x + -2x2 = 2 + 5x

Solving
13x + -2x2 = 2 + 5x

Solving for variable 'x'.

Reorder the terms:
-2 + 13x + -5x + -2x2 = 2 + 5x + -2 + -5x

Combine like terms: 13x + -5x = 8x
-2 + 8x + -2x2 = 2 + 5x + -2 + -5x

Reorder the terms:
-2 + 8x + -2x2 = 2 + -2 + 5x + -5x

Combine like terms: 2 + -2 = 0
-2 + 8x + -2x2 = 0 + 5x + -5x
-2 + 8x + -2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 8x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 4x + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 4x + -1x2)' equal to zero and attempt to solve:

Simplifying
-1 + 4x + -1x2 = 0

Solving
-1 + 4x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1 + -4x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -4x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -4x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x + x2 = 0 + -1
-4x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-4x + x2 = -1

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -1 + 4

Reorder the terms:
4 + -4x + x2 = -1 + 4

Combine like terms: -1 + 4 = 3
4 + -4x + x2 = 3

Factor a perfect square on the left side:
(x + -2)(x + -2) = 3

Calculate the square root of the right side: 1.732050808

Break this problem into two subproblems by setting 
(x + -2) equal to 1.732050808 and -1.732050808.


Subproblem 1
x + -2 = 1.732050808

Simplifying
x + -2 = 1.732050808

Reorder the terms:
-2 + x = 1.732050808

Solving
-2 + x = 1.732050808

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 1.732050808 + 2

Combine like terms: -2 + 2 = 0
0 + x = 1.732050808 + 2
x = 1.732050808 + 2

Combine like terms: 1.732050808 + 2 = 3.732050808
x = 3.732050808

Simplifying
x = 3.732050808


Subproblem 2
x + -2 = -1.732050808

Simplifying
x + -2 = -1.732050808

Reorder the terms:
-2 + x = -1.732050808

Solving
-2 + x = -1.732050808

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -1.732050808 + 2

Combine like terms: -2 + 2 = 0
0 + x = -1.732050808 + 2
x = -1.732050808 + 2

Combine like terms: -1.732050808 + 2 = 0.267949192
x = 0.267949192

Simplifying
x = 0.267949192


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.732050808, 0.267949192}
Solution
x = {3.732050808, 0.267949192}

See similar equations:

| 3m-5n=8r | | 5h+7-2h-3=-2 | | x+11=3x+3 | | 3.04=x+1.52x | | 3(x+9)=12 | | x=3p+n | | 16x^2+64x+60=0 | | 5xa=120 | | 14x-29=-13 | | 16x^2+64+60=0 | | 0.2x-8=-2-z | | 5x-11=3x+4 | | 2x^2+21x=-54 | | 8j+4-3h=1+4h-2 | | 3x+2(x-2)=4x-23+2x | | 14c+7-8c=37 | | 9x^2+33x-60=0 | | 4(13)+141.2= | | 2y+3x=-16 | | 1(3x-4)=5(x-6)+1 | | -2g=-8 | | 5-2y=2(y+3) | | 2x=6y+8 | | -5d+7d+3=33 | | -3+21-3=-2-3h+12+13h | | 1(3x-4)=6(x-6)+1 | | 4(4)+141.2= | | 3x+25=x+7 | | 5x^2+4x-8=2x^2-5x+1 | | 1(3x-4)=3(x-6)+1 | | 45=-9a | | 8c=11c-33 |

Equations solver categories