7x^2-1=50x-8

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Solution for 7x^2-1=50x-8 equation: 


Simplifying
7x2 + -1 = 50x + -8

Reorder the terms:
-1 + 7x2 = 50x + -8

Reorder the terms:
-1 + 7x2 = -8 + 50x

Solving
-1 + 7x2 = -8 + 50x

Solving for variable 'x'.

Reorder the terms:
-1 + 8 + -50x + 7x2 = -8 + 50x + 8 + -50x

Combine like terms: -1 + 8 = 7
7 + -50x + 7x2 = -8 + 50x + 8 + -50x

Reorder the terms:
7 + -50x + 7x2 = -8 + 8 + 50x + -50x

Combine like terms: -8 + 8 = 0
7 + -50x + 7x2 = 0 + 50x + -50x
7 + -50x + 7x2 = 50x + -50x

Combine like terms: 50x + -50x = 0
7 + -50x + 7x2 = 0

Factor a trinomial.
(1 + -7x)(7 + -1x) = 0


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

Simplifying
1 + -7x = 0

Solving
1 + -7x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0.1428571429, 7}

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