5(2x+5)=1ox+25

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Solution for 5(2x+5)=1ox+25 equation: 


Simplifying
5(2x + 5) = 1ox + 25

Reorder the terms:
5(5 + 2x) = 1ox + 25
(5 * 5 + 2x * 5) = 1ox + 25
(25 + 10x) = 1ox + 25

Reorder the terms:
25 + 10x = 25 + 1ox

Add '-25' to each side of the equation.
25 + -25 + 10x = 25 + -25 + 1ox

Combine like terms: 25 + -25 = 0
0 + 10x = 25 + -25 + 1ox
10x = 25 + -25 + 1ox

Combine like terms: 25 + -25 = 0
10x = 0 + 1ox
10x = 1ox

Solving
10x = 1ox

Solving for variable 'x'.

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

Add '-1ox' to each side of the equation.
-1ox + 10x = 1ox + -1ox

Combine like terms: 1ox + -1ox = 0
-1ox + 10x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1o + 10) = 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 '(-1o + 10)' equal to zero and attempt to solve:

Simplifying
-1o + 10 = 0

Reorder the terms:
10 + -1o = 0

Solving
10 + -1o = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1o = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1o = 0 + -10
-1o = 0 + -10

Combine like terms: 0 + -10 = -10
-1o = -10

Add 'o' to each side of the equation.
-1o + o = -10 + o

Combine like terms: -1o + o = 0
0 = -10 + o

Simplifying
0 = -10 + o

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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