3x^2+31x-60=0

Simple and best practice solution for 3x^2+31x-60=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 3x^2+31x-60=0 equation:


Simplifying
3x2 + 31x + -60 = 0

Reorder the terms:
-60 + 31x + 3x2 = 0

Solving
-60 + 31x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(5 + -3x) = 0

Subproblem 1

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

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 = {-12, 1.666666667}

See similar equations:

| 18x+6=3(6x+1) | | (n+2)*7=28 | | 27-4x=8(3-x)+5x | | X-8.2=5.0 | | 3a-9b-(4a-8b)= | | 4x-1=4(x+3) | | (n-9)*5=20 | | 1+14x=12x+17 | | 4x-5=5x+1 | | 0.87y+6=y-0.5 | | X^2-16x+32=0 | | 3.3x=2.7x+4.2 | | -0.60c=42 | | 4x^3+49x^2+12x=0 | | 2x+5=11+x | | 7x-7=56 | | 6x+16=58 | | n-15=13 | | 6(x+2)=30 | | 2x+9=5x+6 | | -4p-5=10+p | | 4x-6x+48=4x+36 | | -6x=-4x-4 | | 1.07x=3.21 | | -2x-2(-2x-18)=26 | | -5x+18=4x | | 49-9x^2= | | 4x^3-19x^2-5x=0 | | 8x=3x+50 | | -4p+3+5p=6 | | 6(7+5x)=372 | | 5.2y=-41.6 |

Equations solver categories