5x^2+2x-40x=0

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Solution for 5x^2+2x-40x=0 equation: 


Simplifying
5x2 + 2x + -40x = 0

Reorder the terms:
2x + -40x + 5x2 = 0

Combine like terms: 2x + -40x = -38x
-38x + 5x2 = 0

Solving
-38x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-38 + 5x) = 0


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 '(-38 + 5x)' equal to zero and attempt to solve:

Simplifying
-38 + 5x = 0

Solving
-38 + 5x = 0

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

Add '38' to each side of the equation.
-38 + 38 + 5x = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 5x = 0 + 38
5x = 0 + 38

Combine like terms: 0 + 38 = 38
5x = 38

Divide each side by '5'.
x = 7.6

Simplifying
x = 7.6
Solution
x = {0, 7.6}

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