5x(3x+5)+2x(5x-3)=

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Solution for 5x(3x+5)+2x(5x-3)= equation: 


Simplifying
5x(3x + 5) + 2x(5x + -3) = 0

Reorder the terms:
5x(5 + 3x) + 2x(5x + -3) = 0
(5 * 5x + 3x * 5x) + 2x(5x + -3) = 0
(25x + 15x2) + 2x(5x + -3) = 0

Reorder the terms:
25x + 15x2 + 2x(-3 + 5x) = 0
25x + 15x2 + (-3 * 2x + 5x * 2x) = 0
25x + 15x2 + (-6x + 10x2) = 0

Reorder the terms:
25x + -6x + 15x2 + 10x2 = 0

Combine like terms: 25x + -6x = 19x
19x + 15x2 + 10x2 = 0

Combine like terms: 15x2 + 10x2 = 25x2
19x + 25x2 = 0

Solving
19x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(19 + 25x) = 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 '(19 + 25x)' equal to zero and attempt to solve:

Simplifying
19 + 25x = 0

Solving
19 + 25x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 25x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 25x = 0 + -19
25x = 0 + -19

Combine like terms: 0 + -19 = -19
25x = -19

Divide each side by '25'.
x = -0.76

Simplifying
x = -0.76
Solution
x = {0, -0.76}

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