2x^2+5x-20=4x+8

Simple and best practice solution for 2x^2+5x-20=4x+8 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 2x^2+5x-20=4x+8 equation: 


Simplifying
2x2 + 5x + -20 = 4x + 8

Reorder the terms:
-20 + 5x + 2x2 = 4x + 8

Reorder the terms:
-20 + 5x + 2x2 = 8 + 4x

Solving
-20 + 5x + 2x2 = 8 + 4x

Solving for variable 'x'.

Reorder the terms:
-20 + -8 + 5x + -4x + 2x2 = 8 + 4x + -8 + -4x

Combine like terms: -20 + -8 = -28
-28 + 5x + -4x + 2x2 = 8 + 4x + -8 + -4x

Combine like terms: 5x + -4x = 1x
-28 + 1x + 2x2 = 8 + 4x + -8 + -4x

Reorder the terms:
-28 + 1x + 2x2 = 8 + -8 + 4x + -4x

Combine like terms: 8 + -8 = 0
-28 + 1x + 2x2 = 0 + 4x + -4x
-28 + 1x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-28 + 1x + 2x2 = 0

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


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 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-4, 3.5}

See similar equations:

| b+[-8]=-13 | | 3(x)(x)+3X-6=0 | | -4-a-9=-8 | | y=3.5x+4 | | 12x^2+69x+45=0 | | 8b-10=2b+14 | | -3+2x=-15 | | F(3)=2x-5 | | -6(x-2)=45 | | x+-3=6x+3 | | 8(2-x)-12=-3x | | x-6=6x+3 | | v-6=5 | | -5x(x-1)(3x+2)=0 | | 7x+3-4x=-6 | | 4-6w=3 | | -3z-7=8 | | 2(x+3)-x=10 | | 4(-1)-9(-1)+22=3(-1)+30 | | 3x^4+2x^3-14x^2+108x+13=0 | | -3m^2+27=0 | | 3(x-5)-14=2(x-7)+4 | | 3y-2=4 | | x/9=5 | | 3x(x+12)=0 | | 12a=-a^2 | | 4p^2-16=0 | | 18x^2-3x-6= | | 5(ln(3x))=14 | | x-6x^2=0 | | 0.3(x+40)+0.3x=21 | | a^2+2a=15 |

Equations solver categories