4x^2+2x-14=31-29x

Simple and best practice solution for 4x^2+2x-14=31-29x 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 4x^2+2x-14=31-29x equation: 


Simplifying
4x2 + 2x + -14 = 31 + -29x

Reorder the terms:
-14 + 2x + 4x2 = 31 + -29x

Solving
-14 + 2x + 4x2 = 31 + -29x

Solving for variable 'x'.

Reorder the terms:
-14 + -31 + 2x + 29x + 4x2 = 31 + -29x + -31 + 29x

Combine like terms: -14 + -31 = -45
-45 + 2x + 29x + 4x2 = 31 + -29x + -31 + 29x

Combine like terms: 2x + 29x = 31x
-45 + 31x + 4x2 = 31 + -29x + -31 + 29x

Reorder the terms:
-45 + 31x + 4x2 = 31 + -31 + -29x + 29x

Combine like terms: 31 + -31 = 0
-45 + 31x + 4x2 = 0 + -29x + 29x
-45 + 31x + 4x2 = -29x + 29x

Combine like terms: -29x + 29x = 0
-45 + 31x + 4x2 = 0

Factor a trinomial.
(-9 + -1x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-9, 1.25}

See similar equations:

| 18=a-15 | | 4x^2-22x+9=0 | | z^5-3z^2-20=0 | | 35-y=7+13y | | 2x+y=14+y | | 2n^9-6n^7+10n^4= | | 6+010x=0.15x+8 | | z^2+10z+43=0 | | 6g-7=3k+6 | | 1/8x=20 | | 2/3x−5=1/2x−3 | | (-38)+(-34)= | | 4x^2+5y^2-54x-20y-56=0 | | a^2+22-103=0 | | 2x-14=37-x | | N+24=8 | | N+24=24 | | 8=2/3n | | =y+2 | | 69=18+B+18+B+B | | (5-4i)/(8-i) | | 50+6x=8 | | 7x^2+5y^2=35 | | 41x=12x^2+35 | | 8/3-x/5=1/15 | | z^2-10z+25=25 | | 4(x-2)-6=-2 | | 5x-1=5x-7 | | 4x^4-41x^2+100=0 | | 7.5-B=2.8 | | 12=5x-23+2x | | 8y^2+42y-11=0 |

Equations solver categories