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

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


Simplifying
x(2 + -1x) + -3x(x + 5) = 0
(2 * x + -1x * x) + -3x(x + 5) = 0
(2x + -1x2) + -3x(x + 5) = 0

Reorder the terms:
2x + -1x2 + -3x(5 + x) = 0
2x + -1x2 + (5 * -3x + x * -3x) = 0
2x + -1x2 + (-15x + -3x2) = 0

Reorder the terms:
2x + -15x + -1x2 + -3x2 = 0

Combine like terms: 2x + -15x = -13x
-13x + -1x2 + -3x2 = 0

Combine like terms: -1x2 + -3x2 = -4x2
-13x + -4x2 = 0

Solving
-13x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(13 + 4x) = 0

Ignore the factor -1.

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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