6x^2+4x-15=41-37x

Simple and best practice solution for 6x^2+4x-15=41-37x 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 6x^2+4x-15=41-37x equation: 


Simplifying
6x2 + 4x + -15 = 41 + -37x

Reorder the terms:
-15 + 4x + 6x2 = 41 + -37x

Solving
-15 + 4x + 6x2 = 41 + -37x

Solving for variable 'x'.

Reorder the terms:
-15 + -41 + 4x + 37x + 6x2 = 41 + -37x + -41 + 37x

Combine like terms: -15 + -41 = -56
-56 + 4x + 37x + 6x2 = 41 + -37x + -41 + 37x

Combine like terms: 4x + 37x = 41x
-56 + 41x + 6x2 = 41 + -37x + -41 + 37x

Reorder the terms:
-56 + 41x + 6x2 = 41 + -41 + -37x + 37x

Combine like terms: 41 + -41 = 0
-56 + 41x + 6x2 = 0 + -37x + 37x
-56 + 41x + 6x2 = -37x + 37x

Combine like terms: -37x + 37x = 0
-56 + 41x + 6x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -6x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {-8, 1.166666667}

See similar equations:

| (3x-5)(3x-5)= | | 288x-32x^2=0 | | 4s(7s+3)=0 | | 5(t-4)=5 | | 9.1x+77.33=-10.9x+75.67 | | 2(4x-3)+5=3(2-2x)+1 | | 16v^3+80v^2+100v=0 | | 3x^2+2x-15=17-18x | | 2.5x-15=4x | | (2t^2-t-7)(2t^2+2t-1)= | | y(3y-2)-6=-3y(1-y) | | 6.2x-1.9=4.3 | | -(x+7)+(6x+1)=-3(x+1) | | -8+y=-23 | | (7x+5)(-8x+2)= | | 11p-4q+19p= | | 40=10(-v+9) | | 5(6x-1)-5(x+2)=22(x+1) | | 15x=-3x-9 | | =246+29(6) | | 2x+42=8x+9 | | 16x^3-48x^2+36x=0 | | -4(x-5)-(x+2)=4 | | 0=144+x^2+18x | | 8z-15-3z=15 | | -18=3(x+3) | | -6(3-4x)-7=38+3x | | (x-5)+x+x+(x-5)=62 | | -6x+13=2x-11 | | (7x-5)=2(x+1)+4 | | 8x^2+89x+90=0 | | -5a+4=15 |

Equations solver categories