3x^2-6x-2=4+5x-7x^2

Simple and best practice solution for 3x^2-6x-2=4+5x-7x^2 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-2=4+5x-7x^2 equation: 


Simplifying
3x2 + -6x + -2 = 4 + 5x + -7x2

Reorder the terms:
-2 + -6x + 3x2 = 4 + 5x + -7x2

Solving
-2 + -6x + 3x2 = 4 + 5x + -7x2

Solving for variable 'x'.

Reorder the terms:
-2 + -4 + -6x + -5x + 3x2 + 7x2 = 4 + 5x + -7x2 + -4 + -5x + 7x2

Combine like terms: -2 + -4 = -6
-6 + -6x + -5x + 3x2 + 7x2 = 4 + 5x + -7x2 + -4 + -5x + 7x2

Combine like terms: -6x + -5x = -11x
-6 + -11x + 3x2 + 7x2 = 4 + 5x + -7x2 + -4 + -5x + 7x2

Combine like terms: 3x2 + 7x2 = 10x2
-6 + -11x + 10x2 = 4 + 5x + -7x2 + -4 + -5x + 7x2

Reorder the terms:
-6 + -11x + 10x2 = 4 + -4 + 5x + -5x + -7x2 + 7x2

Combine like terms: 4 + -4 = 0
-6 + -11x + 10x2 = 0 + 5x + -5x + -7x2 + 7x2
-6 + -11x + 10x2 = 5x + -5x + -7x2 + 7x2

Combine like terms: 5x + -5x = 0
-6 + -11x + 10x2 = 0 + -7x2 + 7x2
-6 + -11x + 10x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
-6 + -11x + 10x2 = 0

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


Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 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 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-0.4, 1.5}

See similar equations:

| -7(4-6n)=40+8n | | 1.75=k-0.375 | | 11(y-89)=y+23 | | .1(4x-8)+.2(x-4)=-.8x | | x^2-6x=x(8+3) | | .25x+7.5(10-x)=3 | | -1/3(6x) | | v-9=4 | | 6-2x=16x+1 | | (-5/8a)-20=-10 | | 9y-1=-4y | | z^3+729= | | 38-4x+5x-11=7 | | x^3+2x^2=x^2 | | 7x-9=12x+14 | | -8x(3x+4)+6x=4(x-8)+4x | | 13=3x-x-7 | | (108/4)=k | | 5x^3-3x^2+8x+4=0 | | 8(5+6n)+3n=-215 | | 100s-75=50s+75 | | d-8/2=12 | | 8(3x+4)+6x=4(x-8)+4x | | 4-14=14-5x-14 | | (3/4)(x+9)=15 | | 4(x+2)-12=3(x-2) | | (4y)/(y-2)-(13)/(3y-6)=1/3 | | X/4-5=0 | | 91+9x=96+x | | 54=9/m-18 | | 45=3x-(7-x) | | 7x-2(x-9)=5(x+1)+4 |

Equations solver categories