5x^2-50x+90=10

Simple and best practice solution for 5x^2-50x+90=10 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 5x^2-50x+90=10 equation: 


Simplifying
5x2 + -50x + 90 = 10

Reorder the terms:
90 + -50x + 5x2 = 10

Solving
90 + -50x + 5x2 = 10

Solving for variable 'x'.

Reorder the terms:
90 + -10 + -50x + 5x2 = 10 + -10

Combine like terms: 90 + -10 = 80
80 + -50x + 5x2 = 10 + -10

Combine like terms: 10 + -10 = 0
80 + -50x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(16 + -10x + x2) = 0

Factor a trinomial.
5((2 + -1x)(8 + -1x)) = 0

Ignore the factor 5.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {2, 8}

See similar equations:

| 0.90=log(x) | | R=2+5w | | (4x-5)=(2x) | | n+302=9.6 | | [5y-4]=21 | | -7u-8t=-1+16 | | 6m-4=2m-2 | | N=3w-g | | 6x+2=58 | | 3(x-11)=81 | | 3(6+z)=3 | | 4(2x-6)+3=19 | | u+4u=-12+7 | | w^2=16-16w | | 24+3x=42 | | 13x+39=11x+55 | | y=4e^2x-6 | | 8y^2+7y-2=0 | | g(x)=8x-11 | | 6x+5=85 | | 3y=-x+16 | | 5+x=0.25 | | 3u-8=-11 | | f(x)=9.2(1.03)x | | 6t+9=6(t+5)-21 | | 0=-5x+33 | | 5x+21=51 | | P=2w+r | | =2xy(x+y) | | 16=-4v-4 | | 6+78x=39x+30 | | 6(2x-3)-4(2-x)=3x-2(x+3) |

Equations solver categories