50x^2+15x-2=5x+2

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Solution for 50x^2+15x-2=5x+2 equation: 


Simplifying
50x2 + 15x + -2 = 5x + 2

Reorder the terms:
-2 + 15x + 50x2 = 5x + 2

Reorder the terms:
-2 + 15x + 50x2 = 2 + 5x

Solving
-2 + 15x + 50x2 = 2 + 5x

Solving for variable 'x'.

Reorder the terms:
-2 + -2 + 15x + -5x + 50x2 = 2 + 5x + -2 + -5x

Combine like terms: -2 + -2 = -4
-4 + 15x + -5x + 50x2 = 2 + 5x + -2 + -5x

Combine like terms: 15x + -5x = 10x
-4 + 10x + 50x2 = 2 + 5x + -2 + -5x

Reorder the terms:
-4 + 10x + 50x2 = 2 + -2 + 5x + -5x

Combine like terms: 2 + -2 = 0
-4 + 10x + 50x2 = 0 + 5x + -5x
-4 + 10x + 50x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 10x + 50x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 5x + 25x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {-0.4, 0.2}

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