x^2+7x-20=4x+8

Simple and best practice solution for x^2+7x-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 x^2+7x-20=4x+8 equation: 


Simplifying
x2 + 7x + -20 = 4x + 8

Reorder the terms:
-20 + 7x + x2 = 4x + 8

Reorder the terms:
-20 + 7x + x2 = 8 + 4x

Solving
-20 + 7x + x2 = 8 + 4x

Solving for variable 'x'.

Reorder the terms:
-20 + -8 + 7x + -4x + x2 = 8 + 4x + -8 + -4x

Combine like terms: -20 + -8 = -28
-28 + 7x + -4x + x2 = 8 + 4x + -8 + -4x

Combine like terms: 7x + -4x = 3x
-28 + 3x + x2 = 8 + 4x + -8 + -4x

Reorder the terms:
-28 + 3x + x2 = 8 + -8 + 4x + -4x

Combine like terms: 8 + -8 = 0
-28 + 3x + x2 = 0 + 4x + -4x
-28 + 3x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-28 + 3x + x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-7, 4}

See similar equations:

| 16.40=1.6m | | 3x-30+4=7x+24 | | -42/-3 | | 4.5=27 | | 0=-x^2-16x-71 | | f=-x^2-16x-71 | | y=6+2(x+4) | | =(5x^5+3x^4)(4x) | | P/7-8=7 | | k-5=42 | | 37-5x=4y | | Jx1/3=5/9 | | f(x)=-x^2-16x-71 | | 3/4(m-1)-1/5m=1 | | m-8=-20 | | 9(n+3)=63 | | Z-2.3=.46 | | -(-4+s)=0.33(12s-21) | | Cos(3*X)+cos(2*X)=0 | | =(2x+5)(2x-5) | | 46x+2=443 | | 49x^2-21x= | | 9+3x=12-y | | (v-7)3+5(v+1)=2+5v | | 21=9x+1-4 | | Z(5+i)=11-3i | | Y/2.3=12 | | .666/18= | | 7x-8+2x-1=180 | | 8/20x=3/20 | | 4/7×2 | | 22-4g=10 |

Equations solver categories