2*x^2+3*x+15=80

Simple and best practice solution for 2*x^2+3*x+15=80 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 2*x^2+3*x+15=80 equation:


Simplifying
2x2 + 3x + 15 = 80

Reorder the terms:
15 + 3x + 2x2 = 80

Solving
15 + 3x + 2x2 = 80

Solving for variable 'x'.

Reorder the terms:
15 + -80 + 3x + 2x2 = 80 + -80

Combine like terms: 15 + -80 = -65
-65 + 3x + 2x2 = 80 + -80

Combine like terms: 80 + -80 = 0
-65 + 3x + 2x2 = 0

Factor a trinomial.
(-13 + -2x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-13 + -2x)' equal to zero and attempt to solve: Simplifying -13 + -2x = 0 Solving -13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5

Subproblem 2

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

Solution

x = {-6.5, 5}

See similar equations:

| 6w+8-8=50+8 | | 6X+9=37 | | m=4(20)+2(8) | | a^2-b^2=5 | | 3x(2-c)=0 | | 2x^2=4x^2-8 | | 4x(5x+6)=0 | | log(6x-1)=log(2x+15) | | (-2ln2-(1/2))-(-ln1-1) | | 2/5=3/x | | 6-4x=3(2-x) | | x^2=9/12 | | 8x^2=-1 | | 9/4-b^2c^4= | | (5x+4)(9x-8y+3)= | | 0.49-f^2g^8= | | 17v^2-68= | | X+-6=-27 | | (-3(9+3x+x^2)+x(9+3x+x^2))=98 | | 4y+49-13y-78+23y=0 | | 7x-12=x+10 | | 64-x=100 | | 4z+3=6+22 | | 1/3x-7=1/4x-8 | | (3r+2t)= | | 11w=7902 | | 7u+10=5 | | 3x-2-1=2 | | 20-7x=60-3x | | (8ax+3a)(4x^2-3ax-8a^2)=-(84a^3x^2) | | 5(1+-21)=4(-21+4) | | 4ac+4ac-5ca= |

Equations solver categories