x(x+23)-10x+3x=

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Solution for x(x+23)-10x+3x= equation: 


Simplifying
x(x + 23) + -10x + 3x = 0

Reorder the terms:
x(23 + x) + -10x + 3x = 0
(23 * x + x * x) + -10x + 3x = 0
(23x + x2) + -10x + 3x = 0

Reorder the terms:
23x + -10x + 3x + x2 = 0

Combine like terms: 23x + -10x = 13x
13x + 3x + x2 = 0

Combine like terms: 13x + 3x = 16x
16x + x2 = 0

Solving
16x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + x) = 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 '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
Solution
x = {0, -16}

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