8x^2+14x-560=0

Simple and best practice solution for 8x^2+14x-560=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 8x^2+14x-560=0 equation: 


Simplifying
8x2 + 14x + -560 = 0

Reorder the terms:
-560 + 14x + 8x2 = 0

Solving
-560 + 14x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-280 + 7x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-280 + 7x + 4x2)' equal to zero and attempt to solve:

Simplifying
-280 + 7x + 4x2 = 0

Solving
-280 + 7x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
-70 + 1.75x + x2 = 0

Move the constant term to the right:

Add '70' to each side of the equation.
-70 + 1.75x + 70 + x2 = 0 + 70

Reorder the terms:
-70 + 70 + 1.75x + x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 1.75x + x2 = 0 + 70
1.75x + x2 = 0 + 70

Combine like terms: 0 + 70 = 70
1.75x + x2 = 70

The x term is 1.75x.  Take half its coefficient (0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
1.75x + 0.765625 + x2 = 70 + 0.765625

Reorder the terms:
0.765625 + 1.75x + x2 = 70 + 0.765625

Combine like terms: 70 + 0.765625 = 70.765625
0.765625 + 1.75x + x2 = 70.765625

Factor a perfect square on the left side:
(x + 0.875)(x + 0.875) = 70.765625

Calculate the square root of the right side: 8.412230679

Break this problem into two subproblems by setting 
(x + 0.875) equal to 8.412230679 and -8.412230679.


Subproblem 1
x + 0.875 = 8.412230679

Simplifying
x + 0.875 = 8.412230679

Reorder the terms:
0.875 + x = 8.412230679

Solving
0.875 + x = 8.412230679

Solving for variable 'x'.

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

Add '-0.875' to each side of the equation.
0.875 + -0.875 + x = 8.412230679 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + x = 8.412230679 + -0.875
x = 8.412230679 + -0.875

Combine like terms: 8.412230679 + -0.875 = 7.537230679
x = 7.537230679

Simplifying
x = 7.537230679


Subproblem 2
x + 0.875 = -8.412230679

Simplifying
x + 0.875 = -8.412230679

Reorder the terms:
0.875 + x = -8.412230679

Solving
0.875 + x = -8.412230679

Solving for variable 'x'.

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

Add '-0.875' to each side of the equation.
0.875 + -0.875 + x = -8.412230679 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + x = -8.412230679 + -0.875
x = -8.412230679 + -0.875

Combine like terms: -8.412230679 + -0.875 = -9.287230679
x = -9.287230679

Simplifying
x = -9.287230679


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.537230679, -9.287230679}
Solution
x = {7.537230679, -9.287230679}

See similar equations:

| 7c+6c=2+3c | | 4(8+2x)=8 | | -228=227+13x | | -y-3(3y+5)= | | 8x+5=-3+6x+16 | | 985/1000 | | 176=-x+281 | | -11y+y^2-152=0 | | 2x-10(1/5x•1/5)=-6 | | 36+15x=17c | | 266+19x=-328+8x | | 1010n-70=130 | | 6-6/7 | | -5v=-23 | | 8/9(-3/10) | | 6a^2-15a-36=0 | | 7/p=4/9 | | 6(2-x/ | | 9y+6x=15 | | p(x)=5x^5-x^4-10x^3+2x^2+5x-1 | | 1765/1000 | | 8sin(x)+8=12 | | 3x+4(x-7)=3(x-4) | | 4(1)-x=9 | | 22=-7v | | 4(6)-x=9 | | -315-15x=255+4x | | -y/8=-46 | | 5=4+3a | | (r-36)(r+49)=0 | | X+13=41-3x | | -30=-w/8 |

Equations solver categories