4x^2+8x+80=6x^2-4x

Simple and best practice solution for 4x^2+8x+80=6x^2-4x 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+8x+80=6x^2-4x equation: 


Simplifying
4x2 + 8x + 80 = 6x2 + -4x

Reorder the terms:
80 + 8x + 4x2 = 6x2 + -4x

Reorder the terms:
80 + 8x + 4x2 = -4x + 6x2

Solving
80 + 8x + 4x2 = -4x + 6x2

Solving for variable 'x'.

Reorder the terms:
80 + 8x + 4x + 4x2 + -6x2 = -4x + 6x2 + 4x + -6x2

Combine like terms: 8x + 4x = 12x
80 + 12x + 4x2 + -6x2 = -4x + 6x2 + 4x + -6x2

Combine like terms: 4x2 + -6x2 = -2x2
80 + 12x + -2x2 = -4x + 6x2 + 4x + -6x2

Reorder the terms:
80 + 12x + -2x2 = -4x + 4x + 6x2 + -6x2

Combine like terms: -4x + 4x = 0
80 + 12x + -2x2 = 0 + 6x2 + -6x2
80 + 12x + -2x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
80 + 12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + 6x + -1x2) = 0

Factor a trinomial.
2((10 + -1x)(4 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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

Simplifying
4 + x = 0

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

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

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

Simplifying
x = -4
Solution
x = {10, -4}

See similar equations:

| 7-4x=8x+5 | | x*3-7x+4=0 | | 0.09x^2-30x+600=0 | | 100+5+5x=180 | | 15-m=24 | | 3x+42+90=180 | | (2.5-z)/(2.5-1)=0.06 | | (x+y)+(x+y)+(x+y)= | | (10+11*-1)+3(4*-1+3)= | | (10+11*-1)+3(4*-1+3)=2 | | -4.6y-2(2.2y-7.2)=-2.1(y-20) | | 5y-1-3y=5.20 | | 7y(2x-5y)= | | (7a+7b)+(6a-8b)= | | x+3-2x=5+2x-3x | | 5-5x-2x=4 | | -10=25+3x | | 2x+3n+7=-43 | | (2a+5b)+(5a+2b)+(6a-8b)= | | 4910x+10=24 | | (2a+5b)+(5a+2b)= | | Ln(y)=5x+c | | Ln(4t)-ln(3t^2)=2 | | 0=b^2-6b+10 | | 3x-3-x+2x=x+3x-5 | | X+5y=153x+2y=41 | | 5x+4y=13.2 | | X+2x+y-5=100 | | Y=4.8-2x | | -x+15=-17 | | m/-7-24=2 | | 3-0.5x=1.8 |

Equations solver categories