3x^2+6x-3=7-7x

Simple and best practice solution for 3x^2+6x-3=7-7x 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+6x-3=7-7x equation: 


Simplifying
3x2 + 6x + -3 = 7 + -7x

Reorder the terms:
-3 + 6x + 3x2 = 7 + -7x

Solving
-3 + 6x + 3x2 = 7 + -7x

Solving for variable 'x'.

Reorder the terms:
-3 + -7 + 6x + 7x + 3x2 = 7 + -7x + -7 + 7x

Combine like terms: -3 + -7 = -10
-10 + 6x + 7x + 3x2 = 7 + -7x + -7 + 7x

Combine like terms: 6x + 7x = 13x
-10 + 13x + 3x2 = 7 + -7x + -7 + 7x

Reorder the terms:
-10 + 13x + 3x2 = 7 + -7 + -7x + 7x

Combine like terms: 7 + -7 = 0
-10 + 13x + 3x2 = 0 + -7x + 7x
-10 + 13x + 3x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-10 + 13x + 3x2 = 0

Factor a trinomial.
(-5 + -1x)(2 + -3x) = 0


Subproblem 1
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

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-5, 0.6666666667}

See similar equations:

| x+310=410 | | 8x+6+5x+18=180 | | 2(y-3)=2x+4 | | b-5=1 | | f(-9)=x^2+4x | | xy+4x-3y-12=0 | | w-19w= | | 2(x+6)=4x-10 | | 3x-5=-4x+30 | | -5x-2=x-20 | | 2y^2-y-28=0 | | -5x+5=2x+26 | | 13a-8=13 | | 4x-4=-x+6 | | 2x^3+5x^2-63x=0 | | 6x-8=5+6x-4 | | -3x+4=-3x-3 | | -0.08x+0.1(x+4800)=492 | | -3x-4=-5x+4 | | 4x-3=4x-4 | | 13(-11)=-11(13) | | 2-10x=-8 | | 0=2x^2+18x+28 | | -x-1=5x-21 | | 60=x+(x+10) | | 5x(3+7)= | | 3=1.2+x | | 9x+1+x+9=5(2x+2) | | 4n+12=5n-3n+2 | | 17.50+175.00+234.00=1196.50 | | 2+5(x-1)=47 | | 2x+1=-x-14 |

Equations solver categories