-5x^2+75x-280=0

Simple and best practice solution for -5x^2+75x-280=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 -5x^2+75x-280=0 equation: 


Simplifying
-5x2 + 75x + -280 = 0

Reorder the terms:
-280 + 75x + -5x2 = 0

Solving
-280 + 75x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-56 + 15x + -1x2) = 0

Factor a trinomial.
5((-8 + x)(7 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

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

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

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

Simplifying
x = 8

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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {8, 7}

See similar equations:

| u+63=4u | | 4j+14=3j-7 | | u+63=4u | | 4j+14=3j-7 | | 7d+5=17.75 | | x=4/5+2/3 | | 3x+1+35=180 | | -6x+2y=14 | | -6x+2y=14 | | 0.8-0.6y=5.4 | | 2n+4(6-n)=30 | | 40m+50=6 | | 2(1)+4y=-4 | | 3(x+4)=12x-2 | | 20+.20(72)= | | 16x^2-192x+476=0 | | 3-3*6-2=2 | | 4x+7y+3= | | x+6+63=90 | | 3.1f+1.2=2.3f+2.8 | | 4.20p+3.50=28.70 | | 7x+2=3(1+x)2 | | -6(v-4)=-4v+28 | | 8.5=51 | | 12+6i=4x+3yi | | -3w+15=-6(w-3) | | 3.80(13)= | | -2p+1+p=3p-7 | | -72(x-15.6)=-9 | | 6x^2=-144 | | 5-3(x+2)=5x-17 | | a+b+b+b+a+n+p=100 |

Equations solver categories