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

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


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

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

Reorder the terms for easier multiplication:
23x + x2 + -10x + 3 * 3x = 0

Multiply 3 * 3
23x + x2 + -10x + 9x = 0

Reorder the terms:
23x + -10x + 9x + x2 = 0

Combine like terms: 23x + -10x = 13x
13x + 9x + x2 = 0

Combine like terms: 13x + 9x = 22x
22x + x2 = 0

Solving
22x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(22 + 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 '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22
Solution
x = {0, -22}

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