10x^2-4x-5=-5

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Solution for 10x^2-4x-5=-5 equation: 


Simplifying
10x2 + -4x + -5 = -5

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

Add '5' to each side of the equation.
-5 + -4x + 5 + 10x2 = -5 + 5

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

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

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

Solving
-4x + 10x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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
Solution
x = {0, 0.4}

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