4x^2-28x-40=0

Simple and best practice solution for 4x^2-28x-40=0 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^2-28x-40=0 equation: 


Simplifying
4x2 + -28x + -40 = 0

Reorder the terms:
-40 + -28x + 4x2 = 0

Solving
-40 + -28x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-10 + -7x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-10 + -7x + x2)' equal to zero and attempt to solve:

Simplifying
-10 + -7x + x2 = 0

Solving
-10 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + -7x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + -7x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -7x + x2 = 0 + 10
-7x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-7x + x2 = 10

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = 10 + 12.25

Reorder the terms:
12.25 + -7x + x2 = 10 + 12.25

Combine like terms: 10 + 12.25 = 22.25
12.25 + -7x + x2 = 22.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 22.25

Calculate the square root of the right side: 4.716990566

Break this problem into two subproblems by setting 
(x + -3.5) equal to 4.716990566 and -4.716990566.


Subproblem 1
x + -3.5 = 4.716990566

Simplifying
x + -3.5 = 4.716990566

Reorder the terms:
-3.5 + x = 4.716990566

Solving
-3.5 + x = 4.716990566

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 4.716990566 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 4.716990566 + 3.5
x = 4.716990566 + 3.5

Combine like terms: 4.716990566 + 3.5 = 8.216990566
x = 8.216990566

Simplifying
x = 8.216990566


Subproblem 2
x + -3.5 = -4.716990566

Simplifying
x + -3.5 = -4.716990566

Reorder the terms:
-3.5 + x = -4.716990566

Solving
-3.5 + x = -4.716990566

Solving for variable 'x'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -4.716990566 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -4.716990566 + 3.5
x = -4.716990566 + 3.5

Combine like terms: -4.716990566 + 3.5 = -1.216990566
x = -1.216990566

Simplifying
x = -1.216990566


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.216990566, -1.216990566}
Solution
x = {8.216990566, -1.216990566}

See similar equations:

| (x+8)(x-2)=100 | | -1x+36=-36 | | (x+8)(x-2)=121 | | 8d-3(2d-4)=3(2d-4)4-d | | (x+8)(x-2)=144 | | 61.9*28= | | 9(3x-3)=90 | | x^2+17x^2= | | (2,6)x3/2 | | 25=x-10+8 | | 48+r=97 | | V+0.4+3.8v=-0.83+5.1v | | 3x-20+x-9+x-1=180 | | 7x-41+5x-12+2x+9=180 | | 0.9x+5=1.2x-3621 | | x-43+x-39+2x-18=180 | | X/15=3/2.5 | | -7x+-23x+-6x=180 | | 1/2=€c | | 2x+4=3x+-8 | | 5k+3k+13=6+7k | | -117=9v | | 5(x-8)+6(x+9)=35 | | x+9+x+3+x+3=180 | | 6x+1=-14+3x | | 20x-1+30x-3+11x+1=180 | | 14x+2+40=21x-7 | | 2n/9=-4 | | 2x^2-6y= | | 2x+10+4x-36+4x-34=180 | | -10+6x=-5x-43 | | B-14=-15 |

Equations solver categories