x*(-3x+5)=2

Simple and best practice solution for x*(-3x+5)=2 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 x*(-3x+5)=2 equation:


Simplifying
x(-3x + 5) = 2

Reorder the terms:
x(5 + -3x) = 2
(5 * x + -3x * x) = 2
(5x + -3x2) = 2

Solving
5x + -3x2 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + 5x + -3x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 5x + -3x2 = 0

Factor a trinomial.
(-1 + x)(2 + -3x) = 0

Subproblem 1

Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {1, 0.6666666667}

See similar equations:

| X=60+0.25 | | (1/3)9squared3 | | 60+60+0+1= | | 3X/2=12X/6-11 | | x/5+5=12 | | x/7*3=12 | | 2x^9/3-5/7x^7+6x^3-x | | x³-1/x³+4 | | x-2/5=7 | | 60+60*0*1= | | 10x^3+x^2+90x+9=0 | | 22/7*3.5 | | 6x-1=39-2x | | 182*26/91= | | 5m^2+5m+50=0 | | X+(X*1.166)=1.8 | | x*x+10x-1500=0 | | 3/2=4-x | | log[x](8)=-1/3 | | 32/1.95=x/1.8 | | 8g+3=5g+9 | | 200(X+10)-X(X+10)=200X | | 180(X+30)=180x+X+(X+30) | | y=.13(x)+17000000000 | | 23(y-3)=1/3y | | 5p-12=4p+8-9p | | x^2-9/x^2+3x= | | 3x+21=56 | | 3x+11=-23 | | (x+3)^2/3-8=0 | | 4000=12 | | 3(a+b)+15-a+b= |

Equations solver categories