2x^2-15x+15=8-x^2-5x

Simple and best practice solution for 2x^2-15x+15=8-x^2-5x 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^2-15x+15=8-x^2-5x equation: 


Simplifying
2x2 + -15x + 15 = 8 + -1x2 + -5x

Reorder the terms:
15 + -15x + 2x2 = 8 + -1x2 + -5x

Reorder the terms:
15 + -15x + 2x2 = 8 + -5x + -1x2

Solving
15 + -15x + 2x2 = 8 + -5x + -1x2

Solving for variable 'x'.

Reorder the terms:
15 + -8 + -15x + 5x + 2x2 + x2 = 8 + -5x + -1x2 + -8 + 5x + x2

Combine like terms: 15 + -8 = 7
7 + -15x + 5x + 2x2 + x2 = 8 + -5x + -1x2 + -8 + 5x + x2

Combine like terms: -15x + 5x = -10x
7 + -10x + 2x2 + x2 = 8 + -5x + -1x2 + -8 + 5x + x2

Combine like terms: 2x2 + x2 = 3x2
7 + -10x + 3x2 = 8 + -5x + -1x2 + -8 + 5x + x2

Reorder the terms:
7 + -10x + 3x2 = 8 + -8 + -5x + 5x + -1x2 + x2

Combine like terms: 8 + -8 = 0
7 + -10x + 3x2 = 0 + -5x + 5x + -1x2 + x2
7 + -10x + 3x2 = -5x + 5x + -1x2 + x2

Combine like terms: -5x + 5x = 0
7 + -10x + 3x2 = 0 + -1x2 + x2
7 + -10x + 3x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
7 + -10x + 3x2 = 0

Factor a trinomial.
(1 + -1x)(7 + -3x) = 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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {1, 2.333333333}

See similar equations:

| (u+3)2=2u+11u+15 | | X^4-7x+3=0 | | 2x^4-7x+3=0 | | 2x+3x-15=25 | | -2+x-4x=11 | | 5(6)+3(7)= | | -4+3x=-12+25xfraction | | 2y-4*0=10 | | x-2 = 9 (4-10x)4 | | 9y-5y-9=48.80 | | W-8=23 | | 2y+-4*-2=10 | | -42=-6(z-3) | | 5x+9=82-8x | | -3k^2g-[4kg^2-(6k^2g-2kg^2)]=0 | | 3x-3y+3=2 | | Log(3t+1)=5 | | 49=17(t+1) | | 14abc-[3ab^2c+(4a^2bc)-(-3ab^2c-5abc+5a^2bc)]=0 | | -3y+3=2 | | 3.8=m+9.7 | | -3y+3=0 | | 14abc-[3ab^2+(4a^2bc)-(-3ab^2c-5abc+5a^2bc)]=0 | | -3y-3=0 | | E-5=-13 | | 2-s=9 | | 9x^3-729=0 | | 5x-15+3x=5+8x-20 | | 4n^2-4n=0 | | 5(3x-3)+5x=6x+25-x | | x^2-11x-432=0 | | 9x+5=-3x+5+12x |

Equations solver categories