3x^2-2x=16

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


Simplifying
3x2 + -2x = 16

Reorder the terms:
-2x + 3x2 = 16

Solving
-2x + 3x2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + -2x + 3x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -2x + 3x2 = 0

Factor a trinomial.
(-2 + -1x)(8 + -3x) = 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 '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {-2, 2.666666667}

See similar equations:

| x/90=x8/9-5x/6 | | -x^2+15=19x-9 | | (X-6)(2X+5)=(X+10)(X-3) | | -9+(-15)+x=8-5-12 | | x+4/9+x-2/7 | | X^3-12X^2+20X= | | 6y^2-5y-2=0 | | 8x-3x+5=-1x-1 | | 5x=0.3 | | -2(3n-5)=2(8n-8) | | 3k^2+4k+2=0 | | 5x=0.81 | | Z+5.7z+5=6.2(z-2.5) | | x^2y^2-16xy+64= | | 17y=5y | | -6x+18=2(3x-9) | | (ln(3))*(2x+1)=(ln(15))*(-3x+2) | | 0.1(x-1.5)=-0.9(x+11) | | -37=b-6+(-3) | | 30-(4x-5)=2 | | ln(3)*(2x+1)=ln(15)*(-3x+2) | | -3+(-5y-9)=-5(9y+7)-1 | | ln(3)(2x+1)=ln(15)(-3x+2) | | (2.3x-4)(x-4)*2= | | 1777+55642*45-x=377777 | | 1-x=377777 | | 3e^2x+1=15e^3x+2 | | m^2-4mn-12n^2=0 | | -15m-15=102 | | -3y+2y= | | -13x+17y=19 | | 0.2X^2+x-0.2=0 |

Equations solver categories