4x^2-8x-5x=0

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Solution for 4x^2-8x-5x=0 equation: 


Simplifying
4x2 + -8x + -5x = 0

Reorder the terms:
-8x + -5x + 4x2 = 0

Combine like terms: -8x + -5x = -13x
-13x + 4x2 = 0

Solving
-13x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-13 + 4x) = 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 '(-13 + 4x)' equal to zero and attempt to solve:

Simplifying
-13 + 4x = 0

Solving
-13 + 4x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 4x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 0 + 13
4x = 0 + 13

Combine like terms: 0 + 13 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25
Solution
x = {0, 3.25}

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