3x^2-31x=-6x^2-5x-16

Simple and best practice solution for 3x^2-31x=-6x^2-5x-16 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 3x^2-31x=-6x^2-5x-16 equation:


Simplifying
3x2 + -31x = -6x2 + -5x + -16

Reorder the terms:
-31x + 3x2 = -6x2 + -5x + -16

Reorder the terms:
-31x + 3x2 = -16 + -5x + -6x2

Solving
-31x + 3x2 = -16 + -5x + -6x2

Solving for variable 'x'.

Reorder the terms:
16 + -31x + 5x + 3x2 + 6x2 = -16 + -5x + -6x2 + 16 + 5x + 6x2

Combine like terms: -31x + 5x = -26x
16 + -26x + 3x2 + 6x2 = -16 + -5x + -6x2 + 16 + 5x + 6x2

Combine like terms: 3x2 + 6x2 = 9x2
16 + -26x + 9x2 = -16 + -5x + -6x2 + 16 + 5x + 6x2

Reorder the terms:
16 + -26x + 9x2 = -16 + 16 + -5x + 5x + -6x2 + 6x2

Combine like terms: -16 + 16 = 0
16 + -26x + 9x2 = 0 + -5x + 5x + -6x2 + 6x2
16 + -26x + 9x2 = -5x + 5x + -6x2 + 6x2

Combine like terms: -5x + 5x = 0
16 + -26x + 9x2 = 0 + -6x2 + 6x2
16 + -26x + 9x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
16 + -26x + 9x2 = 0

Factor a trinomial.
(8 + -9x)(2 + -1x) = 0

Subproblem 1

Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 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 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889

Subproblem 2

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

Solution

x = {0.8888888889, 2}

See similar equations:

| 0=(2h-5)h | | 5y+4+-3= | | 4x^2-20x=1 | | -18=9(a+1) | | 20r^2-11r-3=0 | | 8+5s-2=9s+27-7s | | 2y=-6x-3 | | 6(x+5)=18 | | 10x^2+56= | | 4x+3=7x+2 | | 8(H+1.5)= | | -7y-5=-5y+1 | | 6(x^3+6x^2+x+6)= | | 5(-3.4+1.6s)-8s=-17 | | 5x^2+10x-175=0 | | 7-(3x)=5x+13 | | -3.4+1.6s-8s=-17 | | 3(-3.4+1.6s)=5 | | 4m+20=45m | | -5x+5=60 | | 4A+17=7A-13 | | 2x-10=-4 | | 4s^2-7s=0 | | Y-2=-6 | | 3y+2y=25 | | 21=12x-15 | | y=40+.08y | | x+76= | | b^2+2b=-20 | | 5x^2=14 | | 8(y-1)=y+2 | | -12+2a+-18=90 |

Equations solver categories