2x^2+6x-10=x^2+9x

Simple and best practice solution for 2x^2+6x-10=x^2+9x 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+6x-10=x^2+9x equation: 


Simplifying
2x2 + 6x + -10 = x2 + 9x

Reorder the terms:
-10 + 6x + 2x2 = x2 + 9x

Reorder the terms:
-10 + 6x + 2x2 = 9x + x2

Solving
-10 + 6x + 2x2 = 9x + x2

Solving for variable 'x'.

Reorder the terms:
-10 + 6x + -9x + 2x2 + -1x2 = 9x + x2 + -9x + -1x2

Combine like terms: 6x + -9x = -3x
-10 + -3x + 2x2 + -1x2 = 9x + x2 + -9x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-10 + -3x + 1x2 = 9x + x2 + -9x + -1x2

Reorder the terms:
-10 + -3x + 1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
-10 + -3x + 1x2 = 0 + x2 + -1x2
-10 + -3x + 1x2 = x2 + -1x2

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

Factor a trinomial.
(-2 + -1x)(5 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-2, 5}

See similar equations:

| 7.5x+6x+3+10x-5=180 | | 3x-3=144 | | (4x+52)+(8x+20)=120 | | 2x+2=-19-x | | 1.07*x=1 | | 2(15x-9)=8x+5+12x+7 | | f(a)=4+8x^2 | | cos^2(3x)=0.25 | | Log(2)(4x-9)=2 | | -14+x=26 | | 10-4p+28=2+2p | | x+(4x-1)=4 | | 2x+22+4x+20=14 | | a=-7+-1(n-1) | | -3(-2x-5)=9 | | 70=2(-5m+2)+6 | | K+2=-10k-20 | | 25+b=-28 | | x-10-5x=-42 | | 5n-13=12n+9 | | -v+5-6v=1-5v-3 | | 4x+3(x-13)=31 | | Y=(320-20x)(70+5x) | | 9c-2+40=20x+5 | | 294=51x | | 0.5z+0.75z=.35 | | -27n+9=8 | | 5(9-15)=y-5 | | d+.20d= | | 2d-14+3d=21+14-2d | | 107.80+4.00x=19.40x | | -7+2x=X-3 |

Equations solver categories