-3x^2+13x-10=0

Simple and best practice solution for -3x^2+13x-10=0 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+13x-10=0 equation:


Simplifying
-3x2 + 13x + -10 = 0

Reorder the terms:
-10 + 13x + -3x2 = 0

Solving
-10 + 13x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + 3x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-10 + 3x)' equal to zero and attempt to solve: Simplifying -10 + 3x = 0 Solving -10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 0 + 10 3x = 0 + 10 Combine like terms: 0 + 10 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {3.333333333, 1}

See similar equations:

| 12x+8=-28 | | y^4+7y^3-10y^2-70y= | | (x+5)5=13x+8 | | -50x^2-55x+30= | | 4-7+2-7= | | x^2+10xy+25y^2= | | -5x^2+22x+48= | | 3x^3+6x^2-45x= | | 4-2(y+6)=11-3y | | -3.5-3x-5.3-x=-3x-1.1 | | 3x^7-12x^6-96x^5= | | 4(x+3)+(6-x)=0 | | 10x^2-5x-20= | | 15+2x-x^2= | | 4(3+x)=3(5+x) | | 2x^3+4x^2-3x-6= | | 3a(xy)= | | 2x^2+4x^2-3x-6= | | 4x^2+6xy=4 | | 2+3(x-5)=6x | | 0.75x+.05(12-x)=.10(62) | | 9n^2+28n+25= | | 4x+4=14+3x-4 | | 13x-8+3x-3=12x-4+3x | | 8-18x+9x^2= | | 9x-7[9(x+4)-(x-8)]-3= | | k-2/5=k | | 4x^2-12x+x-8=0 | | 5-6(x+1)=17 | | 8(t+2)+5(5t+2)=32(t+1)+6 | | 8(x-4)-16=10(x-7) | | 2(x-1)-3(x-4)=11 |

Equations solver categories