3x^2-4x-56=x^2+2x

Simple and best practice solution for 3x^2-4x-56=x^2+2x 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^2-4x-56=x^2+2x equation: 


Simplifying
3x2 + -4x + -56 = x2 + 2x

Reorder the terms:
-56 + -4x + 3x2 = x2 + 2x

Reorder the terms:
-56 + -4x + 3x2 = 2x + x2

Solving
-56 + -4x + 3x2 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
-56 + -4x + -2x + 3x2 + -1x2 = 2x + x2 + -2x + -1x2

Combine like terms: -4x + -2x = -6x
-56 + -6x + 3x2 + -1x2 = 2x + x2 + -2x + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-56 + -6x + 2x2 = 2x + x2 + -2x + -1x2

Reorder the terms:
-56 + -6x + 2x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-56 + -6x + 2x2 = 0 + x2 + -1x2
-56 + -6x + 2x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-56 + -6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + -3x + x2) = 0

Factor a trinomial.
2((-4 + -1x)(7 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-4, 7}

See similar equations:

| 3x^2-4x-56=x^2+3x | | -2x-1+6x=87 | | -2(p+21)+-9=37 | | 13/52=x/-12 | | 2x5y=12 | | 8x^2+16x-8=24 | | m+4-5m=-4 | | 4x=17.2 | | 0.10(40-2x)+6= | | 5x=17.2 | | 12x-8+8x+5= | | M^2-10m+12=-5 | | 27x=9x-3 | | (X-6)^2/3=25 | | 3[x-5]=2[x+5]6 | | -9-5+5x-4=x+2 | | x(7x+5)=2x^2-6x+36 | | 15.00(17.00+d)=555.00 | | 2(x-1)=-3x+8 | | x-(-42)=47 | | 6(y+-17)+12=-6 | | x+5.6=8.1 | | -13=5+9x | | M^2-16m+92=3 | | 7e^4x+4=8 | | 0.3x+2.8x=17.2-1.6+2.7x | | -3(q+29)+-3=39 | | 4.7+10m=6.53 | | 4k^2+24k=0 | | x^2+2x-21=24-2x | | 24+b=11 | | 0.2x=0.8 |

Equations solver categories