x(x+5)=2(x+5)(x-2)+190

Simple and best practice solution for x(x+5)=2(x+5)(x-2)+190 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(x+5)=2(x+5)(x-2)+190 equation: 


Simplifying
x(x + 5) = 2(x + 5)(x + -2) + 190

Reorder the terms:
x(5 + x) = 2(x + 5)(x + -2) + 190
(5 * x + x * x) = 2(x + 5)(x + -2) + 190
(5x + x2) = 2(x + 5)(x + -2) + 190

Reorder the terms:
5x + x2 = 2(5 + x)(x + -2) + 190

Reorder the terms:
5x + x2 = 2(5 + x)(-2 + x) + 190

Multiply (5 + x) * (-2 + x)
5x + x2 = 2(5(-2 + x) + x(-2 + x)) + 190
5x + x2 = 2((-2 * 5 + x * 5) + x(-2 + x)) + 190
5x + x2 = 2((-10 + 5x) + x(-2 + x)) + 190
5x + x2 = 2(-10 + 5x + (-2 * x + x * x)) + 190
5x + x2 = 2(-10 + 5x + (-2x + x2)) + 190

Combine like terms: 5x + -2x = 3x
5x + x2 = 2(-10 + 3x + x2) + 190
5x + x2 = (-10 * 2 + 3x * 2 + x2 * 2) + 190
5x + x2 = (-20 + 6x + 2x2) + 190

Reorder the terms:
5x + x2 = -20 + 190 + 6x + 2x2

Combine like terms: -20 + 190 = 170
5x + x2 = 170 + 6x + 2x2

Solving
5x + x2 = 170 + 6x + 2x2

Solving for variable 'x'.

Reorder the terms:
-170 + 5x + -6x + x2 + -2x2 = 170 + 6x + 2x2 + -170 + -6x + -2x2

Combine like terms: 5x + -6x = -1x
-170 + -1x + x2 + -2x2 = 170 + 6x + 2x2 + -170 + -6x + -2x2

Combine like terms: x2 + -2x2 = -1x2
-170 + -1x + -1x2 = 170 + 6x + 2x2 + -170 + -6x + -2x2

Reorder the terms:
-170 + -1x + -1x2 = 170 + -170 + 6x + -6x + 2x2 + -2x2

Combine like terms: 170 + -170 = 0
-170 + -1x + -1x2 = 0 + 6x + -6x + 2x2 + -2x2
-170 + -1x + -1x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
-170 + -1x + -1x2 = 0 + 2x2 + -2x2
-170 + -1x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-170 + -1x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(170 + x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(170 + x + x2)' equal to zero and attempt to solve:

Simplifying
170 + x + x2 = 0

Solving
170 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-170' to each side of the equation.
170 + x + -170 + x2 = 0 + -170

Reorder the terms:
170 + -170 + x + x2 = 0 + -170

Combine like terms: 170 + -170 = 0
0 + x + x2 = 0 + -170
x + x2 = 0 + -170

Combine like terms: 0 + -170 = -170
x + x2 = -170

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -170 + 0.25

Reorder the terms:
0.25 + x + x2 = -170 + 0.25

Combine like terms: -170 + 0.25 = -169.75
0.25 + x + x2 = -169.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -169.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 15+2n=26 | | y+7(4)=8 | | y+7(-1)=8 | | x(x+5)=(2x+10)(x-2)+190 | | y=-3(1)+2 | | -840/4 | | .8x+.5x=15 | | 10c^2+33c=-20 | | 5x+3=x-1 | | y-6=-3 | | w^3-2w^2-63w=0 | | 5/6x9/10 | | 6y^2+12y=18x+48 | | 4x+8=-56 | | 49x-5y=70 | | 4x^2+23x+3=0 | | 6b^2-29b=5 | | (3b^2+3b-7)/(b-2) | | 789x=9090000x-192885 | | x=1+1x-2334 | | -36t^2+39t=-42 | | 888888x-4449-223-56x=2344x | | 33=8+x*x | | -18w^2+39w=-84 | | 1.2(6.25+-1.25y)-3.5y=2.5 | | 9x=3(11) | | 9y=3y+24 | | .4x+.5y=2.5 | | 1/5t+5/6=4/6-t | | 1/5(5x-6)=8 | | (5x-6)=8 | | 6r+r=12 |

Equations solver categories