0=3x^2-10x-25

Simple and best practice solution for 0=3x^2-10x-25 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 0=3x^2-10x-25 equation: 


Simplifying
0 = 3x2 + -10x + -25

Reorder the terms:
0 = -25 + -10x + 3x2

Solving
0 = -25 + -10x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 25 = 25
25 + 10x + -3x2 = -25 + -10x + 3x2 + 25 + 10x + -3x2

Reorder the terms:
25 + 10x + -3x2 = -25 + 25 + -10x + 10x + 3x2 + -3x2

Combine like terms: -25 + 25 = 0
25 + 10x + -3x2 = 0 + -10x + 10x + 3x2 + -3x2
25 + 10x + -3x2 = -10x + 10x + 3x2 + -3x2

Combine like terms: -10x + 10x = 0
25 + 10x + -3x2 = 0 + 3x2 + -3x2
25 + 10x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
25 + 10x + -3x2 = 0

Factor a trinomial.
(5 + -1x)(5 + 3x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

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

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

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {5, -1.666666667}

See similar equations:

| 5(5x-1)-6=23x+5 | | y=-7+12 | | s+1.8=7.8 | | 0.496x-974.7= | | 9a+27b= | | -4q-99=69+4q | | 4d+7d-3d=27 | | -6(x+5)+2x= | | 5.12+t=5.6 | | 4x+3y=200 | | 5x(8+x)=3 | | x+8=(-3) | | 1.5+p=1.2 | | 5w+2(w-2)=-11 | | 2n+5=2-5n | | 57+4y-26=15y-11-4y | | (4x-1)(2x-3)=3 | | 2x-4=6+3x | | 12=5k+1+6k | | -19=6+w | | r+1.2=7.8 | | 2(n+5)=2-5n | | 336-4x=0 | | 5(5m-6)+7m=m+2 | | -8m=64 | | 13x(x+36)=5 | | f-3f+6f=32 | | h=3+37t+-16t^2 | | 2x+3y=3x-20 | | x+2=6x-3 | | 16x-19x=21 | | n(0.5)=50+3t+t^2 |

Equations solver categories