-2x(x+2)+3x=15

Simple and best practice solution for -2x(x+2)+3x=15 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 -2x(x+2)+3x=15 equation: 


Simplifying
-2x(x + 2) + 3x = 15

Reorder the terms:
-2x(2 + x) + 3x = 15
(2 * -2x + x * -2x) + 3x = 15
(-4x + -2x2) + 3x = 15

Reorder the terms:
-4x + 3x + -2x2 = 15

Combine like terms: -4x + 3x = -1x
-1x + -2x2 = 15

Solving
-1x + -2x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + -1x + -2x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -1x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + x + 2x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(15 + x + 2x2)' equal to zero and attempt to solve:

Simplifying
15 + x + 2x2 = 0

Solving
15 + x + 2x2 = 0

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

Divide each side by '2'.
7.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + 0.5x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + 0.5x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 0.5x + x2 = 0 + -7.5
0.5x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
0.5x + x2 = -7.5

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.
0.5x + 0.25 + x2 = -7.5 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = -7.5 + 0.25

Combine like terms: -7.5 + 0.25 = -7.25
0.25 + 0.5x + x2 = -7.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -7.25

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:

| 3x+10=3x-50 | | 1y+3=7y-6 | | (9p+11)(p+9)=79 | | -3(t-2)+6x=7t-6 | | y+10=-6/3(x+4) | | 1/3(78.5) | | 6=-8u-8 | | 3x/x+2=(-6/x-2)-2 | | 5/6x3/1 | | 6(2x+11)=9x+33 | | -3(6x-9)=-18x+27 | | 7t-t-7=5t-3 | | -7(r-11)=154 | | m(m-5)=24 | | 3(2d-6)+2=2 | | -88b/-88 | | 1=7w-17 | | 1/3(78.5)(h) | | P-2+1=-7 | | 5+3(4n+3)-n= | | 6/7x5/11x1/3 | | 3z^2-28z+48=0 | | 7t-t-4=5t-7 | | 4+1/7x=8 | | 0=5w-6 | | 0.2x/-x | | 4(-6x-10)=153 | | 8-38=-19 | | 3r+3+4=10 | | 6x+7xy=15 | | 2*7/6-5 | | 6/7=x-5/3 |

Equations solver categories