5x^2+70x=-240

Simple and best practice solution for 5x^2+70x=-240 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+70x=-240 equation:


Simplifying
5x2 + 70x = -240

Reorder the terms:
70x + 5x2 = -240

Solving
70x + 5x2 = -240

Solving for variable 'x'.

Reorder the terms:
240 + 70x + 5x2 = -240 + 240

Combine like terms: -240 + 240 = 0
240 + 70x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(48 + 14x + x2) = 0

Factor a trinomial.
5((8 + x)(6 + x)) = 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Solution

x = {-8, -6}

See similar equations:

| -12y+12=-114 | | 0=x^2-18+32 | | -15+u=-5 | | -21=4x+6 | | 5=z/4−3 | | f(x)=-16x^2+4x+10 | | 3(5-2x)=7(x+4) | | 3t^1/2-4 | | 1/32^2^x=64 | | 3(x-4)-4=2x-6.9 | | (x^2-2x-15)(x-2)= | | 7x+5y=280 | | -6x+45=9 | | (2x1/10) | | 16.50x+286=18.75x+274.60 | | 8x-2(x+9)=x+11 | | 16n^2=36 | | (9c-8)(c-4)= | | -6+45=9 | | 3x+2.5=6x-3 | | 1/(x^(1/2)) | | 3x^2+24x+28=0 | | -log(x)=2.7 | | 6y-17=13(y-1)-4 | | 4/7x2/9 | | -30=5/17× | | tan2x/3=1 | | 2(4w-4)=-10(w-3)+4 | | ln(x^2)-5ln(x)=6 | | -7y=-4 | | X+308=.26x | | 4x-8=41-3x |

Equations solver categories