-70+x^2+(-10x)=0

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Solution for -70+x^2+(-10x)=0 equation: 


Simplifying
-70 + x2 + (-10x) = 0

Reorder the terms:
-70 + (-10x) + x2 = 0

Solving
-70 + (-10x) + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '70' to each side of the equation.
-70 + (-10x) + 70 + x2 = 0 + 70

Reorder the terms:
-70 + 70 + (-10x) + x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + (-10x) + x2 = 0 + 70
(-10x) + x2 = 0 + 70

Combine like terms: 0 + 70 = 70
(-10x) + x2 = 70

The x term is (-10x).  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
(-10x) + 25 + x2 = 70 + 25

Reorder the terms:
25 + (-10x) + x2 = 70 + 25

Combine like terms: 70 + 25 = 95
25 + (-10x) + x2 = 95

Factor a perfect square on the left side:
(x + -5)(x + -5) = 95

Calculate the square root of the right side: 9.746794345

Break this problem into two subproblems by setting 
(x + -5) equal to 9.746794345 and -9.746794345.


Subproblem 1
x + -5 = 9.746794345

Simplifying
x + -5 = 9.746794345

Reorder the terms:
-5 + x = 9.746794345

Solving
-5 + x = 9.746794345

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 9.746794345 + 5

Combine like terms: -5 + 5 = 0
0 + x = 9.746794345 + 5
x = 9.746794345 + 5

Combine like terms: 9.746794345 + 5 = 14.746794345
x = 14.746794345

Simplifying
x = 14.746794345


Subproblem 2
x + -5 = -9.746794345

Simplifying
x + -5 = -9.746794345

Reorder the terms:
-5 + x = -9.746794345

Solving
-5 + x = -9.746794345

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -9.746794345 + 5

Combine like terms: -5 + 5 = 0
0 + x = -9.746794345 + 5
x = -9.746794345 + 5

Combine like terms: -9.746794345 + 5 = -4.746794345
x = -4.746794345

Simplifying
x = -4.746794345


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {14.746794345, -4.746794345}

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