3x^2-2=7x+8

Simple and best practice solution for 3x^2-2=7x+8 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^2-2=7x+8 equation: 


Simplifying
3x2 + -2 = 7x + 8

Reorder the terms:
-2 + 3x2 = 7x + 8

Reorder the terms:
-2 + 3x2 = 8 + 7x

Solving
-2 + 3x2 = 8 + 7x

Solving for variable 'x'.

Reorder the terms:
-2 + -8 + -7x + 3x2 = 8 + 7x + -8 + -7x

Combine like terms: -2 + -8 = -10
-10 + -7x + 3x2 = 8 + 7x + -8 + -7x

Reorder the terms:
-10 + -7x + 3x2 = 8 + -8 + 7x + -7x

Combine like terms: 8 + -8 = 0
-10 + -7x + 3x2 = 0 + 7x + -7x
-10 + -7x + 3x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -7x + 3x2 = 0

Factor a trinomial.
(-1 + -1x)(10 + -3x) = 0


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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {-1, 3.333333333}

See similar equations:

| Y-46=4*4 | | -4(3m+2)=-68 | | g+32=126 | | 5n+3=-19 | | 0.2x+0.25(70)=22.5 | | 18-5y=u+4 | | (4/5)(10y-15)=20 | | 2k-3+0.4+2k= | | x+20=x-70 | | 2(0)-3x=10 | | x-20=70-x | | 4+2.2p=-3.7 | | .62-x=.14 | | 9y-45/5=-2y | | 3x=10-2(-1) | | 7x-1=101 | | 2(-5+3h)-5h=-9 | | cos2a=1.4/x | | 2.8=4y | | 2(-5-3h)-5h=-9 | | .8x+5=20 | | 20X-11+4X+6+7x-7=360 | | .79x+26=1.19x | | 3x=10-2(0) | | 2x-(2x-3)=8 | | -4x-3+(7x+9)= | | 7x^2+210=77x | | g-3h=-5 | | 8*b=300 | | 9.5x+100=y | | 11+2x=52 | | -x/4.25=9.2 |

Equations solver categories