x(10x-2)=624

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Solution for x(10x-2)=624 equation: 


Simplifying
x(10x + -2) = 624

Reorder the terms:
x(-2 + 10x) = 624
(-2 * x + 10x * x) = 624
(-2x + 10x2) = 624

Solving
-2x + 10x2 = 624

Solving for variable 'x'.

Reorder the terms:
-624 + -2x + 10x2 = 624 + -624

Combine like terms: 624 + -624 = 0
-624 + -2x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-312 + -1x + 5x2) = 0

Factor a trinomial.
2((-39 + -5x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-39 + -5x)' equal to zero and attempt to solve:

Simplifying
-39 + -5x = 0

Solving
-39 + -5x = 0

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

Add '39' to each side of the equation.
-39 + 39 + -5x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -5x = 0 + 39
-5x = 0 + 39

Combine like terms: 0 + 39 = 39
-5x = 39

Divide each side by '-5'.
x = -7.8

Simplifying
x = -7.8

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-7.8, 8}

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