4x^2+7x-17=23-20x

Simple and best practice solution for 4x^2+7x-17=23-20x 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+7x-17=23-20x equation: 


Simplifying
4x2 + 7x + -17 = 23 + -20x

Reorder the terms:
-17 + 7x + 4x2 = 23 + -20x

Solving
-17 + 7x + 4x2 = 23 + -20x

Solving for variable 'x'.

Reorder the terms:
-17 + -23 + 7x + 20x + 4x2 = 23 + -20x + -23 + 20x

Combine like terms: -17 + -23 = -40
-40 + 7x + 20x + 4x2 = 23 + -20x + -23 + 20x

Combine like terms: 7x + 20x = 27x
-40 + 27x + 4x2 = 23 + -20x + -23 + 20x

Reorder the terms:
-40 + 27x + 4x2 = 23 + -23 + -20x + 20x

Combine like terms: 23 + -23 = 0
-40 + 27x + 4x2 = 0 + -20x + 20x
-40 + 27x + 4x2 = -20x + 20x

Combine like terms: -20x + 20x = 0
-40 + 27x + 4x2 = 0

Factor a trinomial.
(-8 + -1x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-8, 1.25}

See similar equations:

| y=0.496x-974.3 | | 2x-3(0)=0 | | Y-(-5)=.75(x-(-4)) | | x+1*4x-2=2x-1*3x-1 | | Y-(-5)=.75(x-(-4))5 | | 16w^2-81= | | f?-12=-72 | | -2x+8-3x=28 | | x(y^7+9)-2(y^7+9)= | | 2x+179=21x+5 | | 10x-y=-4 | | -12x-3x=8(x-13)+5 | | 10.5p=-6 | | 14=-4x+9 | | 3x+90=5 | | 1-2b=4 | | 3.84x+15.36=30.72 | | 250+450+130+200+150= | | 3x+90=0 | | 8x-3(0)=48 | | -4y=4y-8 | | 35=7-2x | | 8(0)-3y=48 | | 9x+1=3(x^2-5)-(x-3)(x-2) | | 3x-2x=8 | | 27x^2+81x^5-18x^6+63= | | 2(x+8)=-x+21 | | -100x+900=25x+300 | | 5x-5y=t | | 2(x+7)=6(x-0.8) | | 8x^2+4x-4= | | 50x-20=75x-22 |

Equations solver categories