2x^2-14x=120

Simple and best practice solution for 2x^2-14x=120 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 2x^2-14x=120 equation:


Simplifying
2x2 + -14x = 120

Reorder the terms:
-14x + 2x2 = 120

Solving
-14x + 2x2 = 120

Solving for variable 'x'.

Reorder the terms:
-120 + -14x + 2x2 = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + -14x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + -7x + x2) = 0

Factor a trinomial.
2((-5 + -1x)(12 + -1x)) = 0

Ignore the factor 2.

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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-5, 12}

See similar equations:

| -241=-4.9x^2+85x | | 4n-7=12n+8 | | x^3=-2x | | x+2*6=1 | | 2x=56 | | (21+x)+6=5x | | 2x+12=0.5x | | R=2.4 | | x^3-2x^2+2x-4=0 | | 2x+60=70x | | 225=9b | | 2x=4/556 | | 17n=102 | | 162=9p | | 36=18f | | 3m=63 | | 70=5z | | 7b=91 | | 64=16c | | x+(x-28)=82 | | h(h+3)=44 | | 40-7=5-2x | | 5x^2-75x-30=0 | | r(r+3)=44 | | 12x+19=-4x+3 | | r(r+1)=21 | | r(2r)=40 | | r(r+3)=88 | | 5(x+1)=35 | | x^2+4200=1800 | | x^2+144=169 | | 108=18t^2+90t |

Equations solver categories