4x^2+28x-280=0

Simple and best practice solution for 4x^2+28x-280=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-280=0 equation: 


Simplifying
4x2 + 28x + -280 = 0

Reorder the terms:
-280 + 28x + 4x2 = 0

Solving
-280 + 28x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-70 + 7x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-70 + 7x + x2)' equal to zero and attempt to solve:

Simplifying
-70 + 7x + x2 = 0

Solving
-70 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '70' to each side of the equation.
-70 + 7x + 70 + x2 = 0 + 70

Reorder the terms:
-70 + 70 + 7x + x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 7x + x2 = 0 + 70
7x + x2 = 0 + 70

Combine like terms: 0 + 70 = 70
7x + x2 = 70

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 = 70 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 70 + 12.25

Combine like terms: 70 + 12.25 = 82.25
12.25 + 7x + x2 = 82.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 82.25

Calculate the square root of the right side: 9.069178574

Break this problem into two subproblems by setting 
(x + 3.5) equal to 9.069178574 and -9.069178574.


Subproblem 1
x + 3.5 = 9.069178574

Simplifying
x + 3.5 = 9.069178574

Reorder the terms:
3.5 + x = 9.069178574

Solving
3.5 + x = 9.069178574

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 = 9.069178574 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = 9.069178574 + -3.5
x = 9.069178574 + -3.5

Combine like terms: 9.069178574 + -3.5 = 5.569178574
x = 5.569178574

Simplifying
x = 5.569178574


Subproblem 2
x + 3.5 = -9.069178574

Simplifying
x + 3.5 = -9.069178574

Reorder the terms:
3.5 + x = -9.069178574

Solving
3.5 + x = -9.069178574

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 = -9.069178574 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = -9.069178574 + -3.5
x = -9.069178574 + -3.5

Combine like terms: -9.069178574 + -3.5 = -12.569178574
x = -12.569178574

Simplifying
x = -12.569178574


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.569178574, -12.569178574}
Solution
x = {5.569178574, -12.569178574}

See similar equations:

| 12x+32-65-(-4x)=127 | | 9x+x+-5=6*5 | | 3(k-4)=2(k+3) | | -5=x-(-7) | | 10+2+27=x+25 | | 2n+3=20 | | 3x+x-5x=6*5 | | -2y+16+16+6y=44 | | Y=ax^2+bx+7 | | -x/4-6-14= | | 4x-3(X+5)=12x+3-2x | | 0.09xX=156.31 | | 2x+35+2x+34=21 | | 2(x+1)=4x+3 | | 1-(37/59*21/58) | | 6(m-2)=5(2m-3) | | 3(m-3)-m=-15 | | 5*x=In*8 | | (86-32)5/9 | | 3x+2y=518 | | 30/100*20 | | 10+x+16=2x+16 | | 5x-4=5+5x | | 3(x-2y)+8= | | -2/3x=-48 | | 3(5x+3)=14x-9-2x | | 550/1*31/50 | | 0.6(v+3)=4.8 | | 3(n-12)=20 | | 5501/*31/50 | | R=2-2[2r-3(1-r)] | | 4x=3(-x)+28 |

Equations solver categories