-2x(x+5)=3x-15

Simple and best practice solution for -2x(x+5)=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+5)=3x-15 equation: 


Simplifying
-2x(x + 5) = 3x + -15

Reorder the terms:
-2x(5 + x) = 3x + -15
(5 * -2x + x * -2x) = 3x + -15
(-10x + -2x2) = 3x + -15

Reorder the terms:
-10x + -2x2 = -15 + 3x

Solving
-10x + -2x2 = -15 + 3x

Solving for variable 'x'.

Reorder the terms:
15 + -10x + -3x + -2x2 = -15 + 3x + 15 + -3x

Combine like terms: -10x + -3x = -13x
15 + -13x + -2x2 = -15 + 3x + 15 + -3x

Reorder the terms:
15 + -13x + -2x2 = -15 + 15 + 3x + -3x

Combine like terms: -15 + 15 = 0
15 + -13x + -2x2 = 0 + 3x + -3x
15 + -13x + -2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -13x + -2x2 = 0

Factor a trinomial.
(1 + -1x)(15 + 2x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

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

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

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5
Solution
x = {1, -7.5}

See similar equations:

| 0x+8=20 | | 4x-10=-4x | | N^2/2n-1 | | 3(3x+4)=3x+18 | | 10a=3.5(17) | | 2x+58=3(2+5x) | | 8x-(4x+7)+11=2x | | 7v^2-2v=0 | | 2a+6-6a= | | -(6m+4)=4m-2(6m+2) | | 9a+3b+c=1750 | | -4k+2(5k-6)= | | 20n^2-16n-160=0 | | -4/.75 | | 81x^2-1/16 | | 5+6y-18y= | | 3y+2y-8=17 | | 4x+8=2(3+x)+2(x+1) | | (6x-10)(4x-9)= | | 2x^2+10x-85=0 | | x-6=9-4x | | 2n^2+25n+63=0 | | 14-(-8x)+4x-(-12)= | | 3(b+4)+b=-6(3+b) | | 7n^2+6n+42=0 | | 7x-(6x+8)=3x-46 | | 11+3x-7=6x-5-3x | | 2w+10=22 | | 2+3(2-5)-8=2(x-5) | | 1.5x-0.5y=12 | | -1=1/3x-6 | | 4x+8=2(5+2x) |

Equations solver categories