-6x^2+25x-14=0

Simple and best practice solution for -6x^2+25x-14=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 -6x^2+25x-14=0 equation: 


Simplifying
-6x2 + 25x + -14 = 0

Reorder the terms:
-14 + 25x + -6x2 = 0

Solving
-14 + 25x + -6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + 2x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 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 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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 = {3.5, 0.6666666667}

See similar equations:

| 7x-4=2x+11 | | 2+x=67 | | 4w-30y= | | 9-5y=41 | | 8u-2(u-8)=2u | | 20y^2-19y-28=0 | | 14x^2+98x+140=0 | | 3x-3y=1 | | 4x-10=5(x-2) | | -16=-8-y | | -4(4w+y)-5(6y-4w)= | | 1/8(9+h)=2 | | 2(-3)+5y=3 | | 6+2x=-14 | | 1/5(750+d)=350 | | 1/5(750+d)=290 | | 17x+6=4(4x+6) | | 150x+200(15-x)=2500 | | 7y=5y+8 | | -4+30= | | -4+-30= | | -4-30= | | 33-x=6x-2 | | 7z+5=9z-3 | | 2x^2+4=9x | | -1x-9=-5 | | 10a+15=7a-30 | | -9m-[3(11-4m)+2]=10m | | 7y^2-10+11=y+17 | | (x-4)*(x-4)=25 | | 4x-8x+8=x-3+11 | | 45=9y |

Equations solver categories