(4x^2)+56x-200=0

Simple and best practice solution for (4x^2)+56x-200=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)+56x-200=0 equation: 


Simplifying
(4x2) + 56x + -200 = 0

Reorder the terms:
-200 + 56x + (4x2) = 0

Solving
-200 + 56x + (4x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-50 + 14x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-50 + 14x + x2)' equal to zero and attempt to solve:

Simplifying
-50 + 14x + x2 = 0

Solving
-50 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '50' to each side of the equation.
-50 + 14x + 50 + x2 = 0 + 50

Reorder the terms:
-50 + 50 + 14x + x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 14x + x2 = 0 + 50
14x + x2 = 0 + 50

Combine like terms: 0 + 50 = 50
14x + x2 = 50

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = 50 + 49

Reorder the terms:
49 + 14x + x2 = 50 + 49

Combine like terms: 50 + 49 = 99
49 + 14x + x2 = 99

Factor a perfect square on the left side:
(x + 7)(x + 7) = 99

Calculate the square root of the right side: 9.949874371

Break this problem into two subproblems by setting 
(x + 7) equal to 9.949874371 and -9.949874371.


Subproblem 1
x + 7 = 9.949874371

Simplifying
x + 7 = 9.949874371

Reorder the terms:
7 + x = 9.949874371

Solving
7 + x = 9.949874371

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = 9.949874371 + -7

Combine like terms: 7 + -7 = 0
0 + x = 9.949874371 + -7
x = 9.949874371 + -7

Combine like terms: 9.949874371 + -7 = 2.949874371
x = 2.949874371

Simplifying
x = 2.949874371


Subproblem 2
x + 7 = -9.949874371

Simplifying
x + 7 = -9.949874371

Reorder the terms:
7 + x = -9.949874371

Solving
7 + x = -9.949874371

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = -9.949874371 + -7

Combine like terms: 7 + -7 = 0
0 + x = -9.949874371 + -7
x = -9.949874371 + -7

Combine like terms: -9.949874371 + -7 = -16.949874371
x = -16.949874371

Simplifying
x = -16.949874371


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.949874371, -16.949874371}
Solution
x = {2.949874371, -16.949874371}

See similar equations:

| -32z^5+72z^4+20z^3= | | 25q=5 | | 5y=y-20 | | F/-7*-8=2 | | 31-3v=-v-5(5+6v) | | 10x^2-4x-5=0 | | -6t+6=24 | | 3xsquared+18v=0 | | -14x+3(x+10)=7(2x+4)+x | | 36k^2-5=-1 | | 3x+8-15=25 | | 8-8x-3=-8+5x-14 | | 21+.99x=1.29x | | 3.75-1/2 | | 95=44+33x | | 9=3/4w | | 5x-4y=-91 | | -2-6(2+6n)=80 | | 5x^2-500x+1875=0 | | (2x-2)(3x+3)=0 | | Y/48=64/x | | m/2-37/2-m/3 | | 20+30x=3x+28 | | 7x-68+4x+15+3x+27= | | -6x+2+7x=-12 | | 41=-8-7a | | 15k^2-4k-3=0 | | (2x+7y)(x+y)= | | t^2-24t+81=0 | | -9+(4-11)= | | 95+40= | | V*-7=4 |

Equations solver categories