5x(5x-3)-3x(4x+4)=

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Solution for 5x(5x-3)-3x(4x+4)= equation: 


Simplifying
5x(5x + -3) + -3x(4x + 4) = 0

Reorder the terms:
5x(-3 + 5x) + -3x(4x + 4) = 0
(-3 * 5x + 5x * 5x) + -3x(4x + 4) = 0
(-15x + 25x2) + -3x(4x + 4) = 0

Reorder the terms:
-15x + 25x2 + -3x(4 + 4x) = 0
-15x + 25x2 + (4 * -3x + 4x * -3x) = 0
-15x + 25x2 + (-12x + -12x2) = 0

Reorder the terms:
-15x + -12x + 25x2 + -12x2 = 0

Combine like terms: -15x + -12x = -27x
-27x + 25x2 + -12x2 = 0

Combine like terms: 25x2 + -12x2 = 13x2
-27x + 13x2 = 0

Solving
-27x + 13x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-27 + 13x) = 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 '(-27 + 13x)' equal to zero and attempt to solve:

Simplifying
-27 + 13x = 0

Solving
-27 + 13x = 0

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

Add '27' to each side of the equation.
-27 + 27 + 13x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 13x = 0 + 27
13x = 0 + 27

Combine like terms: 0 + 27 = 27
13x = 27

Divide each side by '13'.
x = 2.076923077

Simplifying
x = 2.076923077
Solution
x = {0, 2.076923077}

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