3x^2-14=-x

Simple and best practice solution for 3x^2-14=-x 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^2-14=-x equation:


Simplifying
3x2 + -14 = -1x

Reorder the terms:
-14 + 3x2 = -1x

Solving
-14 + 3x2 = -1x

Solving for variable 'x'.

Reorder the terms:
-14 + x + 3x2 = -1x + x

Combine like terms: -1x + x = 0
-14 + x + 3x2 = 0

Factor a trinomial.
(-7 + -3x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-2.333333333, 2}

See similar equations:

| 7x+4y=1 | | (4+x)=3(26+x) | | x^7+x^6+x^5+x^4+x^3+x^1+x+1=0 | | 2y-5-y=-7-3y | | 21x^2+25=50x | | 154-35y+4y=1 | | -4m+7-2m=6-3m | | 18+1.5x=y | | 4a+7-3a=3-2a | | x^6-5x^5-4x^4= | | -35y+154=1 | | -3x+9y=18 | | 1x+41=9 | | 2+4[6+4(4)]= | | 155x+216y=366 | | 5x+3=2x+8 | | y=2(2y-2) | | 83-5x=22x+23 | | 2x^2-7=13 | | x=2(2x)-2 | | 13-8x=49-29x | | x+3x=6 | | 4x+8y=0 | | x=2y-2 | | .3(4x-20)=3x | | 6x=4x-8 | | 3a+7+2a=-4-2a | | (x^2+1)(x+1)(x-1)= | | 20-1.5y=17 | | 2x+8=64-6 | | 3c+3+c=-7+c | | 4b-20=8b+5 |

Equations solver categories