x^2=16x-70

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Solution for x^2=16x-70 equation:


Simplifying
x2 = 16x + -70

Reorder the terms:
x2 = -70 + 16x

Solving
x2 = -70 + 16x

Solving for variable 'x'.

Reorder the terms:
70 + -16x + x2 = -70 + 16x + 70 + -16x

Reorder the terms:
70 + -16x + x2 = -70 + 70 + 16x + -16x

Combine like terms: -70 + 70 = 0
70 + -16x + x2 = 0 + 16x + -16x
70 + -16x + x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
70 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-70' to each side of the equation.
70 + -16x + -70 + x2 = 0 + -70

Reorder the terms:
70 + -70 + -16x + x2 = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -16x + x2 = 0 + -70
-16x + x2 = 0 + -70

Combine like terms: 0 + -70 = -70
-16x + x2 = -70

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -70 + 64

Reorder the terms:
64 + -16x + x2 = -70 + 64

Combine like terms: -70 + 64 = -6
64 + -16x + x2 = -6

Factor a perfect square on the left side:
(x + -8)(x + -8) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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