2x^2+15x=6x+35

Simple and best practice solution for 2x^2+15x=6x+35 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=6x+35 equation:


Simplifying
2x2 + 15x = 6x + 35

Reorder the terms:
15x + 2x2 = 6x + 35

Reorder the terms:
15x + 2x2 = 35 + 6x

Solving
15x + 2x2 = 35 + 6x

Solving for variable 'x'.

Reorder the terms:
-35 + 15x + -6x + 2x2 = 35 + 6x + -35 + -6x

Combine like terms: 15x + -6x = 9x
-35 + 9x + 2x2 = 35 + 6x + -35 + -6x

Reorder the terms:
-35 + 9x + 2x2 = 35 + -35 + 6x + -6x

Combine like terms: 35 + -35 = 0
-35 + 9x + 2x2 = 0 + 6x + -6x
-35 + 9x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-35 + 9x + 2x2 = 0

Factor a trinomial.
(-7 + -1x)(5 + -2x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-7, 2.5}

See similar equations:

| -4(3+7r)=-124 | | -2(1-5x)=-12+5x | | 3-4y=2x | | 15f-2=43 | | d+3d+(3d+10)=135 | | 9b-5=-77 | | -8(n-4)=88 | | 2x^4+3x^2-9=0 | | 2(x+5)-4x=24 | | F(x)=x^2-10x-16 | | 5(x-2)+4x=-82 | | -6+2n=n-6(1-6n) | | 5y-7x+15=0 | | 4(u-5)-6=-4(-6u+4)-8u | | x^3+3x^2-37x-15=0 | | 4y-3=-5 | | 2z-3(z+1)=-(5z+6)+z | | 8x+4(4x-3)=4(6x+4)-41 | | 4a-5=2a | | 2(5n-8)-5n=2(3n-4) | | 4(n+5)=7(n+8) | | n+1-3n=-(5+n)+1-2n | | 7z-3=32 | | 2(x+5)-4=24 | | 7z-3=42 | | (7x+31)+(21x-19)=180 | | n^2=6n-5 | | 2x+9=-3x-6 | | 5+4p=19 | | 2z-3(z-1)=-(5z+6)+z | | 6y+1=55 | | 8(x-5)=-104 |

Equations solver categories