7x=2x^2-20+x

Simple and best practice solution for 7x=2x^2-20+x 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 7x=2x^2-20+x equation:


Simplifying
7x = 2x2 + -20 + x

Reorder the terms:
7x = -20 + x + 2x2

Solving
7x = -20 + x + 2x2

Solving for variable 'x'.

Reorder the terms:
20 + 7x + -1x + -2x2 = -20 + x + 2x2 + 20 + -1x + -2x2

Combine like terms: 7x + -1x = 6x
20 + 6x + -2x2 = -20 + x + 2x2 + 20 + -1x + -2x2

Reorder the terms:
20 + 6x + -2x2 = -20 + 20 + x + -1x + 2x2 + -2x2

Combine like terms: -20 + 20 = 0
20 + 6x + -2x2 = 0 + x + -1x + 2x2 + -2x2
20 + 6x + -2x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
20 + 6x + -2x2 = 0 + 2x2 + -2x2
20 + 6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
20 + 6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 3x + -1x2) = 0

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

Ignore the factor 2.

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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {5, -2}

See similar equations:

| 6v^2+41v+63= | | p(x)=7x+1 | | 3x+1y=8.50 | | 61.5=12x+(6*sqrt(2)*x) | | 2=9%4-3 | | x=12x+(6*sqrt(2)x) | | Ln(50x)-ln(x^2)=2 | | X+53=89 | | x(x-4)=42 | | 2y+3x=70 | | 5+2y=26 | | 5(x+3)=60-2(x+6) | | M/3-9/2 | | 5(x+3)=6-2(x+6) | | -9=-.75*E | | x=12x+(6*sqrt(2)*x) | | (14+20)14=(16+d)*16 | | (14+20)14=(16*d)16 | | 6x-25=5x-35 | | 3y-12=3x^2-12 | | Y/6-9/5 | | -9=-3/4*e | | h=-16t^2+48t+166 | | x(x*6)=400 | | 4m-27-40=0 | | 3X^2+9=-13 | | h(t)=-16t^2+48t+166 | | X+3x+2=2x+10+2x-x | | 8-3x/4 | | x*(x+10)=880 | | M/5-m=8 | | 8+4x+x=x+x+x+16 |

Equations solver categories